77040 has 60 divisors (see below), whose sum is σ = 261144. Its totient is φ = 20352.

The previous prime is 77029. The next prime is 77041. The reversal of 77040 is 4077.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 77040.

It is not an unprimeable number, because it can be changed into a prime (77041) by changing a digit.

77040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667 + ... + 773.

2^{77040} 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 77040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572).

77040 is an abundant number, since it is smaller than the sum of its proper divisors (184104).

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

77040 is a wasteful number, since it uses less digits than its factorization.

77040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77040 is about 277.5608041493. The cubic root of 77040 is about 42.5505741653.

The spelling of 77040 in words is "seventy-seven thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 15408 19260 25680 38520 77040

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