761393300672160 has 144 divisors (see below), whose sum is σ = 2798120380038984. Its totient is φ = 187419889391616.

The previous prime is 761393300672113. The next prime is 761393300672183. The reversal of 761393300672160 is 61276003393167.

It is a happy number.

761393300672160 is a `hidden beast` number, since 7 + 6 + 1 + 39 + 330 + 0 + 67 + 216 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380964971768976 + 380428328903184 = 19518324^2 + 19504572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 761393300672097 and 761393300672106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20336340807 + ... + 20336378246.

Almost surely, 2^{761393300672160} is an apocalyptic number.

It is an amenable number.

761393300672160 is an abundant number, since it is smaller than the sum of its proper divisors (2036727079366824).

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

761393300672160 is a wasteful number, since it uses less digits than its factorization.

761393300672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40672719087 (or 40672719076 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 761393300672160 in words is "seven hundred sixty-one trillion, three hundred ninety-three billion, three hundred million, six hundred seventy-two thousand, one hundred sixty".