750876672 has 384 divisors, whose sum is σ = 2641766400. Its totient is φ = 184025088.

The previous prime is 750876629. The next prime is 750876677. The reversal of 750876672 is 276678057.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750876677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504729 + ... + 9504807.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^750876672 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 750876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

750876672 is an abundant number, since it is smaller than the sum of its proper divisors (1890889728).

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

750876672 is a wasteful number, since it uses less digits than its factorization.

750876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 750876672 is about 27402.1289683849. The cubic root of 750876672 is about 908.9141627396.

The spelling of 750876672 in words is "seven hundred fifty million, eight hundred seventy-six thousand, six hundred seventy-two".