752467968 has 270 divisors, whose sum is σ = 2579680376. Its totient is φ = 214990848.

The previous prime is 752467943. The next prime is 752467997. The reversal of 752467968 is 869764257.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107495421 + ... + 107495427.

Almost surely, 2^752467968 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 752467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289840188).

752467968 is an abundant number, since it is smaller than the sum of its proper divisors (1827212408).

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

752467968 is an frugal number, since it uses more digits than its factorization.

752467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 752467968 is about 27431.1495931177. The cubic root of 752467968 is about 909.5557820625. Note that the first 3 decimals are identical.

The spelling of 752467968 in words is "seven hundred fifty-two million, four hundred sixty-seven thousand, nine hundred sixty-eight".