76515840 has 280 divisors, whose sum is σ = 281771028. Its totient is φ = 19906560.

The previous prime is 76515823. The next prime is 76515841. The reversal of 76515840 is 4851567.

76515840 is a `hidden beast` number, since 76 + 5 + 1 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 9144576 = 8208^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76515795 and 76515804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76515841) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866220 + ... + 1866260.

Almost surely, 2^76515840 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 76515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140885514).

76515840 is an abundant number, since it is smaller than the sum of its proper divisors (205255188).

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

76515840 is an frugal number, since it uses more digits than its factorization.

76515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 76515840 is about 8747.3333079288. Note that the first 4 decimals coincide. The cubic root of 76515840 is about 424.5385348779.

The spelling of 76515840 in words is "seventy-six million, five hundred fifteen thousand, eight hundred forty".