756142920 has 96 divisors (see below), whose sum is σ = 2646516600. Its totient is φ = 186126336.

The previous prime is 756142861. The next prime is 756142957. The reversal of 756142920 is 29241657.

756142920 is a `hidden beast` number, since 7 + 561 + 4 + 2 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 562543524 + 193599396 = 23718^2 + 13914^2 .

It is a super-2 number, since 2×756142920² = 1143504230932252800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 76105 + ... + 85464.

Almost surely, 2^756142920 is an apocalyptic number.

It is an amenable number.

756142920 is an abundant number, since it is smaller than the sum of its proper divisors (1890373680).

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

756142920 is a wasteful number, since it uses less digits than its factorization.

756142920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161599 (or 161592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 756142920 is about 27498.0530219868. The cubic root of 756142920 is about 911.0340939371.

The spelling of 756142920 in words is "seven hundred fifty-six million, one hundred forty-two thousand, nine hundred twenty".