756984480 has 192 divisors, whose sum is σ = 2799256320. Its totient is φ = 168321024.

The previous prime is 756984479. The next prime is 756984499. The reversal of 756984480 is 84489657.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121276 + ... + 127364.

It is an arithmetic number, because the mean of its divisors is an integer number (14579460).

Almost surely, 2^756984480 is an apocalyptic number.

756984480 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 756984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399628160).

756984480 is an abundant number, since it is smaller than the sum of its proper divisors (2042271840).

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

756984480 is a wasteful number, since it uses less digits than its factorization.

756984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 756984480 is about 27513.3509409523. The cubic root of 756984480 is about 911.3719514042.

The spelling of 756984480 in words is "seven hundred fifty-six million, nine hundred eighty-four thousand, four hundred eighty".