752260080 has 320 divisors, whose sum is σ = 2861816832. Its totient is φ = 160849920.

The previous prime is 752260079. The next prime is 752260099. The reversal of 752260080 is 80062257.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788884 + ... + 789836.

Almost surely, 2^752260080 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 752260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430908416).

752260080 is an abundant number, since it is smaller than the sum of its proper divisors (2109556752).

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

752260080 is a wasteful number, since it uses less digits than its factorization.

752260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 752260080 is about 27427.3600625361. The cubic root of 752260080 is about 909.4720118750.

The spelling of 752260080 in words is "seven hundred fifty-two million, two hundred sixty thousand, eighty".