76909972480 has 176 divisors, whose sum is σ = 201621312000. Its totient is φ = 27917926400.

The previous prime is 76909972439. The next prime is 76909972499. The reversal of 76909972480 is 8427990967.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51306771 + ... + 51308269.

Almost surely, 2^76909972480 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 76909972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810656000).

76909972480 is an abundant number, since it is smaller than the sum of its proper divisors (124711339520).

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

76909972480 is a wasteful number, since it uses less digits than its factorization.

76909972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 76909972480 in words is "seventy-six billion, nine hundred nine million, nine hundred seventy-two thousand, four hundred eighty".