77872964400 has 360 divisors, whose sum is σ = 336924816384. Its totient is φ = 16181337600.

The previous prime is 77872964327. The next prime is 77872964413. The reversal of 77872964400 is 446927877.

77872964400 is a `hidden beast` number, since 77 + 87 + 2 + 96 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136737 + ... + 417663.

Almost surely, 2^77872964400 is an apocalyptic number.

77872964400 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 77872964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168462408192).

77872964400 is an abundant number, since it is smaller than the sum of its proper divisors (259051851984).

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

77872964400 is a wasteful number, since it uses less digits than its factorization.

77872964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280969 (or 280955 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77872964400 in words is "seventy-seven billion, eight hundred seventy-two million, nine hundred sixty-four thousand, four hundred".