761372136 has 160 divisors (see below), whose sum is σ = 2483965440. Its totient is φ = 213363072.

The previous prime is 761372107. The next prime is 761372137. The reversal of 761372136 is 631273167.

761372136 is a `hidden beast` number, since 7 + 613 + 7 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 761372136.

It is not an unprimeable number, because it can be changed into a prime (761372137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238825 + ... + 241991.

It is an arithmetic number, because the mean of its divisors is an integer number (15524784).

Almost surely, 2^761372136 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 761372136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241982720).

761372136 is an abundant number, since it is smaller than the sum of its proper divisors (1722593304).

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

761372136 is a wasteful number, since it uses less digits than its factorization.

761372136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3232 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 761372136 is about 27592.9725836127. The cubic root of 761372136 is about 913.1294006593.

The spelling of 761372136 in words is "seven hundred sixty-one million, three hundred seventy-two thousand, one hundred thirty-six".