77764712425400 has 768 divisors, whose sum is σ = 245724382632960. Its totient is φ = 22101656371200.

The previous prime is 77764712425399. The next prime is 77764712425451. The reversal of 77764712425400 is 452421746777.

It is a super-2 number, since 2×77764712425400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6945132602 + ... + 6945143798.

It is an arithmetic number, because the mean of its divisors is an integer number (319953623220).

Almost surely, 2^{77764712425400} is an apocalyptic number.

77764712425400 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 77764712425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122862191316480).

77764712425400 is an abundant number, since it is smaller than the sum of its proper divisors (167959670207560).

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

77764712425400 is a wasteful number, since it uses less digits than its factorization.

77764712425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 56.

The spelling of 77764712425400 in words is "seventy-seven trillion, seven hundred sixty-four billion, seven hundred twelve million, four hundred twenty-five thousand, four hundred".