756926940 has 192 divisors, whose sum is σ = 2781757440. Its totient is φ = 148988160.

The previous prime is 756926927. The next prime is 756926983. The reversal of 756926940 is 49629657.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 756926940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83469 + ... + 92091.

It is an arithmetic number, because the mean of its divisors is an integer number (14488320).

Almost surely, 2^756926940 is an apocalyptic number.

756926940 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 756926940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390878720).

756926940 is an abundant number, since it is smaller than the sum of its proper divisors (2024830500).

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

756926940 is a wasteful number, since it uses less digits than its factorization.

756926940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 756926940 is about 27512.3052469254. The cubic root of 756926940 is about 911.3488590457.

The spelling of 756926940 in words is "seven hundred fifty-six million, nine hundred twenty-six thousand, nine hundred forty".