77907382716000 has 768 divisors, whose sum is σ = 270612737740800. Its totient is φ = 19538979840000.

The previous prime is 77907382715989. The next prime is 77907382716061. The reversal of 77907382716000 is 61728370977.

It is a happy number.

It is a super-3 number, since 3×77907382716000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40982315050 + ... + 40982316950.

It is an arithmetic number, because the mean of its divisors is an integer number (352360335600).

Almost surely, 2^{77907382716000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77907382716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135306368870400).

77907382716000 is an abundant number, since it is smaller than the sum of its proper divisors (192705355024800).

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

77907382716000 is a wasteful number, since it uses less digits than its factorization.

77907382716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 57.

The spelling of 77907382716000 in words is "seventy-seven trillion, nine hundred seven billion, three hundred eighty-two million, seven hundred sixteen thousand".