761260032 has 240 divisors, whose sum is σ = 2455673220. Its totient is φ = 233570304.

The previous prime is 761260021. The next prime is 761260039. The reversal of 761260032 is 230062167.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 717382656 + 43877376 = 26784^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 761259978 and 761260005.

It is not an unprimeable number, because it can be changed into a prime (761260039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156368 + ... + 2156720.

Almost surely, 2^761260032 is an apocalyptic number.

761260032 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 761260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227836610).

761260032 is an abundant number, since it is smaller than the sum of its proper divisors (1694413188).

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

761260032 is a wasteful number, since it uses less digits than its factorization.

761260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 761260032 is about 27590.9411220422. The cubic root of 761260032 is about 913.0845822418.

The spelling of 761260032 in words is "seven hundred sixty-one million, two hundred sixty thousand, thirty-two".