756079940 has 96 divisors (see below), whose sum is σ = 1999565568. Its totient is φ = 233280000.

The previous prime is 756079937. The next prime is 756079957. The reversal of 756079940 is 49970657.

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 31 ways as a sum of consecutive naturals, for example, 153110 + ... + 157970.

It is an arithmetic number, because the mean of its divisors is an integer number (20828808).

Almost surely, 2^756079940 is an apocalyptic number.

756079940 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 756079940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999782784).

756079940 is an abundant number, since it is smaller than the sum of its proper divisors (1243485628).

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

756079940 is a wasteful number, since it uses less digits than its factorization.

756079940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 756079940 is about 27496.9078261538. The cubic root of 756079940 is about 911.0087995477.

The spelling of 756079940 in words is "seven hundred fifty-six million, seventy-nine thousand, nine hundred forty".