756770112 has 126 divisors (see below), whose sum is σ = 2523385098. Its totient is φ = 216211968.

The previous prime is 756770107. The next prime is 756770123. The reversal of 756770112 is 211077657.

It can be written as a sum of positive squares in only one way, i.e., 704583936 + 52186176 = 26544^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 17 ways as a sum of consecutive naturals, for example, 14818 + ... + 41630.

Almost surely, 2^756770112 is an apocalyptic number.

756770112 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 756770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261692549).

756770112 is an abundant number, since it is smaller than the sum of its proper divisors (1766614986).

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

756770112 is a wasteful number, since it uses less digits than its factorization.

756770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 756770112 is about 27509.4549564327. The cubic root of 756770112 is about 911.2859137849.

The spelling of 756770112 in words is "seven hundred fifty-six million, seven hundred seventy thousand, one hundred twelve".