77940172800 has 864 divisors, whose sum is σ = 324353615040. Its totient is φ = 17517772800.

The previous prime is 77940172789. The next prime is 77940172903. The reversal of 77940172800 is 827104977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 235468635 + ... + 235468965.

Almost surely, 2^77940172800 is an apocalyptic number.

77940172800 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 77940172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162176807520).

77940172800 is an abundant number, since it is smaller than the sum of its proper divisors (246413442240).

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

77940172800 is a wasteful number, since it uses less digits than its factorization.

77940172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 77940172800 in words is "seventy-seven billion, nine hundred forty million, one hundred seventy-two thousand, eight hundred".