77681574192 has 160 divisors (see below), whose sum is σ = 209060270080. Its totient is φ = 24828871680.

The previous prime is 77681574127. The next prime is 77681574193. The reversal of 77681574192 is 29147518677.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77681574193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94387893 + ... + 94388715.

It is an arithmetic number, because the mean of its divisors is an integer number (1306626688).

Almost surely, 2^77681574192 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 77681574192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104530135040).

77681574192 is an abundant number, since it is smaller than the sum of its proper divisors (131378695888).

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

77681574192 is a wasteful number, since it uses less digits than its factorization.

77681574192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 57.

The spelling of 77681574192 in words is "seventy-seven billion, six hundred eighty-one million, five hundred seventy-four thousand, one hundred ninety-two".