716401920 has 288 divisors, whose sum is σ = 2505388032. Its totient is φ = 173408256.

The previous prime is 716401919. The next prime is 716401937. The reversal of 716401920 is 29104617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5640897 + ... + 5641023.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2^716401920 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 716401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252694016).

716401920 is an abundant number, since it is smaller than the sum of its proper divisors (1788986112).

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

716401920 is a wasteful number, since it uses less digits than its factorization.

716401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 716401920 is about 26765.6854946777. The cubic root of 716401920 is about 894.7854504813.

The spelling of 716401920 in words is "seven hundred sixteen million, four hundred one thousand, nine hundred twenty".