760525920 has 576 divisors, whose sum is σ = 3415426560. Its totient is φ = 149713920.

The previous prime is 760525903. The next prime is 760525973. The reversal of 760525920 is 29525067.

760525920 is a `hidden beast` number, since 7 + 60 + 5 + 2 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 40027671 + ... + 40027689.

It is an arithmetic number, because the mean of its divisors is an integer number (5929560).

Almost surely, 2^760525920 is an apocalyptic number.

760525920 is a gapful number since it is divisible by the number (70) 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 760525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707713280).

760525920 is an abundant number, since it is smaller than the sum of its proper divisors (2654900640).

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

760525920 is a wasteful number, since it uses less digits than its factorization.

760525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 760525920 is about 27577.6344163164. The cubic root of 760525920 is about 912.7909804485.

It can be divided in two parts, 7605 and 25920, that multiplied together give a square (197121600 = 14040²).

The spelling of 760525920 in words is "seven hundred sixty million, five hundred twenty-five thousand, nine hundred twenty".