756756480 has 208 divisors, whose sum is σ = 2465163360. Its totient is φ = 198180864.

The previous prime is 756756457. The next prime is 756756493. The reversal of 756756480 is 84657657.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6696904 + ... + 6697016.

Almost surely, 2^756756480 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 756756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232581680).

756756480 is an abundant number, since it is smaller than the sum of its proper divisors (1708406880).

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

756756480 is a wasteful number, since it uses less digits than its factorization.

756756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 756756480 is about 27509.2071859587. The cubic root of 756756480 is about 911.2804419673.

The spelling of 756756480 in words is "seven hundred fifty-six million, seven hundred fifty-six thousand, four hundred eighty".