750728160 has 576 divisors, whose sum is σ = 3348438912. Its totient is φ = 148635648.

The previous prime is 750728149. The next prime is 750728189. The reversal of 750728160 is 61827057.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227512 + ... + 2227848.

It is an arithmetic number, because the mean of its divisors is an integer number (5813262).

Almost surely, 2^750728160 is an apocalyptic number.

750728160 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 750728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674219456).

750728160 is an abundant number, since it is smaller than the sum of its proper divisors (2597710752).

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

750728160 is a wasteful number, since it uses less digits than its factorization.

750728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 750728160 is about 27399.4189719417. The cubic root of 750728160 is about 908.8542356502.

The spelling of 750728160 in words is "seven hundred fifty million, seven hundred twenty-eight thousand, one hundred sixty".