77755023360000 has 3040 divisors, whose sum is σ = 343822213672960. Its totient is φ = 17199267840000.

The previous prime is 77755023359933. The next prime is 77755023360017. The reversal of 77755023360000 is 6332055777.

77755023360000 is a `hidden beast` number, since 7 + 7 + 7 + 5 + 5 + 0 + 2 + 33 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2508226559985 + ... + 2508226560015.

Almost surely, 2^{77755023360000} is an apocalyptic number.

77755023360000 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 77755023360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171911106836480).

77755023360000 is an abundant number, since it is smaller than the sum of its proper divisors (266067190312960).

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

77755023360000 is an frugal number, since it uses more digits than its factorization.

77755023360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 77755023360000 in words is "seventy-seven trillion, seven hundred fifty-five billion, twenty-three million, three hundred sixty thousand".