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77040820 = 22519296991
BaseRepresentation
bin1001001011110…
…00110010110100
312100222002010201
410211320302310
5124210301240
611351130244
71623556543
oct445706264
9170862121
1077040820
113a53a9aa
1221973984
1312c654ac
14a33615a
156b6bd9a
hex4978cb4

77040820 has 48 divisors (see below), whose sum is σ = 176198400. Its totient is φ = 28183680.

The previous prime is 77040779. The next prime is 77040829. The reversal of 77040820 is 2804077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77040829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7525 + ... + 14515.

It is an arithmetic number, because the mean of its divisors is an integer number (3670800).

Almost surely, 277040820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77040820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099200).

77040820 is an abundant number, since it is smaller than the sum of its proper divisors (99157580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77040820 is a wasteful number, since it uses less digits than its factorization.

77040820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 77040820 is about 8777.2900145774. The cubic root of 77040820 is about 425.5072513163.

Adding to 77040820 its reverse (2804077), we get a palindrome (79844897).

The spelling of 77040820 in words is "seventy-seven million, forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 6991 11020 13982 27964 34955 69910 132829 139820 202739 265658 405478 531316 664145 810956 1013695 1328290 2027390 2656580 3852041 4054780 7704082 15408164 19260205 38520410 77040820