77380867200 has 768 divisors, whose sum is σ = 317157200640. Its totient is φ = 16146432000.

The previous prime is 77380867181. The next prime is 77380867211. The reversal of 77380867200 is 276808377.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77380867200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88233162 + ... + 88234038.

It is an arithmetic number, because the mean of its divisors is an integer number (412965105).

Almost surely, 2^77380867200 is an apocalyptic number.

77380867200 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 77380867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578600320).

77380867200 is an abundant number, since it is smaller than the sum of its proper divisors (239776333440).

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

77380867200 is a wasteful number, since it uses less digits than its factorization.

77380867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 77380867200 in words is "seventy-seven billion, three hundred eighty million, eight hundred sixty-seven thousand, two hundred".