716415120 has 120 divisors (see below), whose sum is σ = 2415204792. Its totient is φ = 190310400.

The previous prime is 716415107. The next prime is 716415143. The reversal of 716415120 is 21514617.

It is a happy number.

716415120 is a `hidden beast` number, since 7 + 1 + 641 + 5 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94012416 + 622402704 = 9696^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×716415120² = 1026501248329228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200550 + ... + 204090.

Almost surely, 2^716415120 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 716415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207602396).

716415120 is an abundant number, since it is smaller than the sum of its proper divisors (1698789672).

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

716415120 is a wasteful number, since it uses less digits than its factorization.

716415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 716415120 is about 26765.9320779232. The cubic root of 716415120 is about 894.7909460442.

Adding to 716415120 its reverse (21514617), we get a palindrome (737929737).

The spelling of 716415120 in words is "seven hundred sixteen million, four hundred fifteen thousand, one hundred twenty".