756849312 has 48 divisors (see below), whose sum is σ = 2207479680. Its totient is φ = 252282816.

The previous prime is 756849277. The next prime is 756849329. The reversal of 756849312 is 213948657.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 437128 + ... + 438855.

It is an arithmetic number, because the mean of its divisors is an integer number (45989160).

Almost surely, 2^756849312 is an apocalyptic number.

756849312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

756849312 is an abundant number, since it is smaller than the sum of its proper divisors (1450630368).

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

756849312 is a wasteful number, since it uses less digits than its factorization.

756849312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876002 (or 875988 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 756849312 is about 27510.8944238460. The cubic root of 756849312 is about 911.3177029750.

The spelling of 756849312 in words is "seven hundred fifty-six million, eight hundred forty-nine thousand, three hundred twelve".