752223680 has 224 divisors, whose sum is σ = 2102876160. Its totient is φ = 253808640.

The previous prime is 752223677. The next prime is 752223697. The reversal of 752223680 is 86322257.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 752223680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450087 + ... + 2450393.

It is an arithmetic number, because the mean of its divisors is an integer number (9387840).

Almost surely, 2^752223680 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 752223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051438080).

752223680 is an abundant number, since it is smaller than the sum of its proper divisors (1350652480).

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

752223680 is a wasteful number, since it uses less digits than its factorization.

752223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 752223680 is about 27426.6964835359. The cubic root of 752223680 is about 909.4573426066.

The spelling of 752223680 in words is "seven hundred fifty-two million, two hundred twenty-three thousand, six hundred eighty".