76978764800 has 396 divisors, whose sum is σ = 224401719960. Its totient is φ = 26104135680.

The previous prime is 76978764799. The next prime is 76978764817. The reversal of 76978764800 is 846787967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136729319 + ... + 136729881.

It is an arithmetic number, because the mean of its divisors is an integer number (566671010).

Almost surely, 2^76978764800 is an apocalyptic number.

76978764800 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 76978764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112200859980).

76978764800 is an abundant number, since it is smaller than the sum of its proper divisors (147422955160).

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

76978764800 is a wasteful number, since it uses less digits than its factorization.

76978764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 62.

The spelling of 76978764800 in words is "seventy-six billion, nine hundred seventy-eight million, seven hundred sixty-four thousand, eight hundred".