752532480 has 264 divisors, whose sum is σ = 2981283552. Its totient is φ = 171933696.

The previous prime is 752532413. The next prime is 752532503. The reversal of 752532480 is 84235257.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321394 + ... + 323726.

Almost surely, 2^752532480 is an apocalyptic number.

752532480 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 752532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490641776).

752532480 is an abundant number, since it is smaller than the sum of its proper divisors (2228751072).

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

752532480 is a wasteful number, since it uses less digits than its factorization.

752532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 752532480 is about 27432.3254573869. The cubic root of 752532480 is about 909.5817745691.

The spelling of 752532480 in words is "seven hundred fifty-two million, five hundred thirty-two thousand, four hundred eighty".