77270351334000 has 320 divisors, whose sum is σ = 271868391595008. Its totient is φ = 18725207424000.

The previous prime is 77270351333993. The next prime is 77270351334097. The reversal of 77270351334000 is 43315307277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177520629 + ... + 177955371.

Almost surely, 2^{77270351334000} 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 77270351334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135934195797504).

77270351334000 is an abundant number, since it is smaller than the sum of its proper divisors (194598040261008).

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

77270351334000 is a wasteful number, since it uses less digits than its factorization.

77270351334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437473 (or 437457 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 42.

The spelling of 77270351334000 in words is "seventy-seven trillion, two hundred seventy billion, three hundred fifty-one million, three hundred thirty-four thousand".