77055412679700 has 2304 divisors, whose sum is σ = 308365767327744. Its totient is φ = 14387930726400.

The previous prime is 77055412679699. The next prime is 77055412679711. The reversal of 77055412679700 is 797621455077.

It is a super-4 number, since 4×77055412679700⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 232795808535 + ... + 232795808865.

It is an arithmetic number, because the mean of its divisors is an integer number (133839308736).

Almost surely, 2^{77055412679700} is an apocalyptic number.

77055412679700 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 77055412679700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154182883663872).

77055412679700 is an abundant number, since it is smaller than the sum of its proper divisors (231310354648044).

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

77055412679700 is a wasteful number, since it uses less digits than its factorization.

77055412679700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 60.

The spelling of 77055412679700 in words is "seventy-seven trillion, fifty-five billion, four hundred twelve million, six hundred seventy-nine thousand, seven hundred".