761157116172 has 72 divisors (see below), whose sum is σ = 1947443490720. Its totient is φ = 250637587200.

The previous prime is 761157116141. The next prime is 761157116177. The reversal of 761157116172 is 271611751167.

761157116172 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 571 + 1 + 6 + 1 + 72 = 666.

761157116172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (761157116177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3393297 + ... + 3610647.

It is an arithmetic number, because the mean of its divisors is an integer number (27047826260).

Almost surely, 2^761157116172 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 761157116172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973721745360).

761157116172 is an abundant number, since it is smaller than the sum of its proper divisors (1186286374548).

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

761157116172 is a wasteful number, since it uses less digits than its factorization.

761157116172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218543 (or 218538 counting only the distinct ones).

The product of its digits is 123480, while the sum is 45.

The spelling of 761157116172 in words is "seven hundred sixty-one billion, one hundred fifty-seven million, one hundred sixteen thousand, one hundred seventy-two".