761282752 has 56 divisors (see below), whose sum is σ = 1555650432. Its totient is φ = 369408000.

The previous prime is 761282699. The next prime is 761282759. The reversal of 761282752 is 257282167.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (761282759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584502 + ... + 585802.

It is an arithmetic number, because the mean of its divisors is an integer number (27779472).

Almost surely, 2^761282752 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 761282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777825216).

761282752 is an abundant number, since it is smaller than the sum of its proper divisors (794367680).

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

761282752 is a wasteful number, since it uses less digits than its factorization.

761282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 761282752 is about 27591.3528483110. The cubic root of 761282752 is about 913.0936658989.

The spelling of 761282752 in words is "seven hundred sixty-one million, two hundred eighty-two thousand, seven hundred fifty-two".