715027600 has 135 divisors (see below), whose sum is σ = 2008836921. Its totient is φ = 243868800.

The previous prime is 715027597. The next prime is 715027603. The reversal of 715027600 is 6720517.

The square root of 715027600 is 26740.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (715027597) and next prime (715027603).

It can be written as a sum of positive squares in only one way, i.e., 257409936 + 457617664 = 16044^2 + 21392^2 .

It is a super-2 number, since 2×715027600² = 1022528937523520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (715027603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3743505 + ... + 3743695.

Almost surely, 2^715027600 is an apocalyptic number.

715027600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

715027600 is the 26740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715027600

715027600 is an abundant number, since it is smaller than the sum of its proper divisors (1293809321).

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

715027600 is a wasteful number, since it uses less digits than its factorization.

715027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The cubic root of 715027600 is about 894.2129093344.

The spelling of 715027600 in words is "seven hundred fifteen million, twenty-seven thousand, six hundred".