761627232 has 192 divisors, whose sum is σ = 2326968000. Its totient is φ = 242049024.

The previous prime is 761627231. The next prime is 761627233. The reversal of 761627232 is 232726167.

It is a happy number.

761627232 is a `hidden beast` number, since 7 + 6 + 1 + 627 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (761627231) and next prime (761627233).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761627231) 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, 2831194 + ... + 2831462.

It is an arithmetic number, because the mean of its divisors is an integer number (12119625).

Almost surely, 2^761627232 is an apocalyptic number.

761627232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163484000).

761627232 is an abundant number, since it is smaller than the sum of its proper divisors (1565340768).

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

761627232 is a wasteful number, since it uses less digits than its factorization.

761627232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 761627232 is about 27597.5946777976. The cubic root of 761627232 is about 913.2313699139.

The spelling of 761627232 in words is "seven hundred sixty-one million, six hundred twenty-seven thousand, two hundred thirty-two".