752068800 has 420 divisors, whose sum is σ = 3163143280. Its totient is φ = 171694080.

The previous prime is 752068663. The next prime is 752068829. The reversal of 752068800 is 8860257.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 59 ways as a sum of consecutive naturals, for example, 906786 + ... + 907614.

Almost surely, 2^752068800 is an apocalyptic number.

752068800 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 752068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581571640).

752068800 is an abundant number, since it is smaller than the sum of its proper divisors (2411074480).

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

752068800 is a wasteful number, since it uses less digits than its factorization.

752068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 752068800 is about 27423.8728118404. The cubic root of 752068800 is about 909.3949203841.

The spelling of 752068800 in words is "seven hundred fifty-two million, sixty-eight thousand, eight hundred".