761482512 has 160 divisors (see below), whose sum is σ = 2578882560. Its totient is φ = 210522240.

The previous prime is 761482511. The next prime is 761482517. The reversal of 761482512 is 215284167.

761482512 is a `hidden beast` number, since 7 + 61 + 4 + 82 + 512 = 666.

It is a super-3 number, since 3×761482512³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (761482511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89683 + ... + 97805.

It is an arithmetic number, because the mean of its divisors is an integer number (16118016).

Almost surely, 2^761482512 is an apocalyptic number.

761482512 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 761482512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289441280).

761482512 is an abundant number, since it is smaller than the sum of its proper divisors (1817400048).

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

761482512 is a wasteful number, since it uses less digits than its factorization.

761482512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8166 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 761482512 is about 27594.9725855997. The cubic root of 761482512 is about 913.1735239362.

The spelling of 761482512 in words is "seven hundred sixty-one million, four hundred eighty-two thousand, five hundred twelve".