715653120 has 320 divisors, whose sum is σ = 2818569600. Its totient is φ = 150994944.

The previous prime is 715653101. The next prime is 715653151. The reversal of 715653120 is 21356517.

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

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55050234 + ... + 55050246.

It is an arithmetic number, because the mean of its divisors is an integer number (8808030).

Almost surely, 2^715653120 is an apocalyptic number.

715653120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409284800).

715653120 is an abundant number, since it is smaller than the sum of its proper divisors (2102916480).

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

715653120 is an frugal number, since it uses more digits than its factorization.

715653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 715653120 is about 26751.6937781517. The cubic root of 715653120 is about 894.4735915928.

The spelling of 715653120 in words is "seven hundred fifteen million, six hundred fifty-three thousand, one hundred twenty".