756372480 has 176 divisors, whose sum is σ = 2525572224. Its totient is φ = 192839680.

The previous prime is 756372467. The next prime is 756372481. The reversal of 756372480 is 84273657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756372481) 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, 352210 + ... + 354350.

Almost surely, 2^756372480 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 756372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262786112).

756372480 is an abundant number, since it is smaller than the sum of its proper divisors (1769199744).

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

756372480 is a wasteful number, since it uses less digits than its factorization.

756372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 756372480 is about 27502.2268189323. The cubic root of 756372480 is about 911.1262792548.

The spelling of 756372480 in words is "seven hundred fifty-six million, three hundred seventy-two thousand, four hundred eighty".