715461120 has 320 divisors, whose sum is σ = 2775358080. Its totient is φ = 173260800.

The previous prime is 715461083. The next prime is 715461163. The reversal of 715461120 is 21164517.

It is a happy number.

715461120 is a `hidden beast` number, since 7 + 1 + 546 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×715461120² = 1023769228463308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759850 + ... + 760790.

It is an arithmetic number, because the mean of its divisors is an integer number (8672994).

Almost surely, 2^715461120 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 715461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387679040).

715461120 is an abundant number, since it is smaller than the sum of its proper divisors (2059896960).

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

715461120 is a wasteful number, since it uses less digits than its factorization.

715461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 962 counting only the distinct ones).

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

The square root of 715461120 is about 26748.1049796056. The cubic root of 715461120 is about 894.3935927379.

The spelling of 715461120 in words is "seven hundred fifteen million, four hundred sixty-one thousand, one hundred twenty".