752322480 has 640 divisors, whose sum is σ = 3166464000. Its totient is φ = 146313216.

The previous prime is 752322449. The next prime is 752322481. The reversal of 752322480 is 84223257.

It is a super-2 number, since 2×752322480² = 1131978227826700800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (752322481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20333022 + ... + 20333058.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^752322480 is an apocalyptic number.

752322480 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 752322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583232000).

752322480 is an abundant number, since it is smaller than the sum of its proper divisors (2414141520).

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

752322480 is a wasteful number, since it uses less digits than its factorization.

752322480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 752322480 is about 27428.4975891863. The cubic root of 752322480 is about 909.4971580915.

It can be divided in two parts, 7523 and 22480, that added together give a palindrome (30003).

The spelling of 752322480 in words is "seven hundred fifty-two million, three hundred twenty-two thousand, four hundred eighty".