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80520480 = 2535519109
BaseRepresentation
bin1001100110010…
…10010100100000
312121111212100000
410303022110200
5131103123410
611553500000
71665261405
oct463122440
9177455300
1080520480
11414a7257
1222b71600
13138b3271
14a9a02ac
157107dc0
hex4cca520

80520480 has 288 divisors, whose sum is σ = 302702400. Its totient is φ = 20155392.

The previous prime is 80520457. The next prime is 80520481. The reversal of 80520480 is 8402508.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80520481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738666 + ... + 738774.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 280520480 is an apocalyptic number.

80520480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

80520480 is an abundant number, since it is smaller than the sum of its proper divisors (222181920).

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

80520480 is a wasteful number, since it uses less digits than its factorization.

80520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 80520480 is about 8973.3204556619. The cubic root of 80520480 is about 431.8193689282.

Adding to 80520480 its reverse (8402508), we get a palindrome (88922988).

The spelling of 80520480 in words is "eighty million, five hundred twenty thousand, four hundred eighty".