715213800 has 720 divisors, whose sum is σ = 3117306060. Its totient is φ = 150958080.

The previous prime is 715213729. The next prime is 715213841. The reversal of 715213800 is 8312517.

It can be written as a sum of positive squares in 6 ways, for example, as 442765764 + 272448036 = 21042^2 + 16506^2 .

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 179 ways as a sum of consecutive naturals, for example, 13494574 + ... + 13494626.

Almost surely, 2^715213800 is an apocalyptic number.

715213800 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 715213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558653030).

715213800 is an abundant number, since it is smaller than the sum of its proper divisors (2402092260).

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

715213800 is a wasteful number, since it uses less digits than its factorization.

715213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

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

The square root of 715213800 is about 26743.4814487568. The cubic root of 715213800 is about 894.2905231182.

The spelling of 715213800 in words is "seven hundred fifteen million, two hundred thirteen thousand, eight hundred".