76979548800 has 2880 divisors, whose sum is σ = 392549652000. Its totient is φ = 14631321600.

The previous prime is 76979548757. The next prime is 76979548823. The reversal of 76979548800 is 884597967.

76979548800 is a `hidden beast` number, since 7 + 6 + 9 + 7 + 9 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×76979548800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2654467186 + ... + 2654467214.

Almost surely, 2^76979548800 is an apocalyptic number.

76979548800 is a gapful number since it is divisible by the number (70) 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 76979548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196274826000).

76979548800 is an abundant number, since it is smaller than the sum of its proper divisors (315570103200).

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

76979548800 is a wasteful number, since it uses less digits than its factorization.

76979548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 76979548800 in words is "seventy-six billion, nine hundred seventy-nine million, five hundred forty-eight thousand, eight hundred".