77082868800 has 504 divisors, whose sum is σ = 331534958976. Its totient is φ = 16582164480.

The previous prime is 77082868777. The next prime is 77082868853. The reversal of 77082868800 is 886828077.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1691109 + ... + 1736091.

Almost surely, 2^77082868800 is an apocalyptic number.

77082868800 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 77082868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165767479488).

77082868800 is an abundant number, since it is smaller than the sum of its proper divisors (254452090176).

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

77082868800 is a wasteful number, since it uses less digits than its factorization.

77082868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45035 (or 45017 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 77082868800 in words is "seventy-seven billion, eighty-two million, eight hundred sixty-eight thousand, eight hundred".