750071400 has 384 divisors, whose sum is σ = 2707326720. Its totient is φ = 170311680.

The previous prime is 750071359. The next prime is 750071411. The reversal of 750071400 is 4170057.

750071400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6637744 + ... + 6637856.

It is an arithmetic number, because the mean of its divisors is an integer number (7050330).

Almost surely, 2^750071400 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 750071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353663360).

750071400 is an abundant number, since it is smaller than the sum of its proper divisors (1957255320).

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

750071400 is a wasteful number, since it uses less digits than its factorization.

750071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 750071400 is about 27387.4314239214. The cubic root of 750071400 is about 908.5891271479.

The spelling of 750071400 in words is "seven hundred fifty million, seventy-one thousand, four hundred".