76924909440 has 640 divisors, whose sum is σ = 289247112000. Its totient is φ = 19444727808.

The previous prime is 76924909309. The next prime is 76924909471. The reversal of 76924909440 is 4490942967.

76924909440 is a `hidden beast` number, since 7 + 69 + 2 + 490 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×76924909440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177655464 + ... + 177655896.

Almost surely, 2^76924909440 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 76924909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556000).

76924909440 is an abundant number, since it is smaller than the sum of its proper divisors (212322202560).

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

76924909440 is a wasteful number, since it uses less digits than its factorization.

76924909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 76924909440 in words is "seventy-six billion, nine hundred twenty-four million, nine hundred nine thousand, four hundred forty".