756945408 has 160 divisors (see below), whose sum is σ = 2183163840. Its totient is φ = 232243200.

The previous prime is 756945407. The next prime is 756945419. The reversal of 756945408 is 804549657.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (756945407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079458 + ... + 1080158.

It is an arithmetic number, because the mean of its divisors is an integer number (13644774).

Almost surely, 2^756945408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

756945408 is an abundant number, since it is smaller than the sum of its proper divisors (1426218432).

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

756945408 is a wasteful number, since it uses less digits than its factorization.

756945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 756945408 is about 27512.6408765135. The cubic root of 756945408 is about 911.3562708812.

The spelling of 756945408 in words is "seven hundred fifty-six million, nine hundred forty-five thousand, four hundred eight".