715125600 has 324 divisors, whose sum is σ = 2934866844. Its totient is φ = 163376640.

The previous prime is 715125589. The next prime is 715125623. The reversal of 715125600 is 6521517.

715125600 is a `hidden beast` number, since 7 + 1 + 51 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×715125600² = 1022809247550720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 351787 + ... + 353813.

It is an arithmetic number, because the mean of its divisors is an integer number (9058231).

Almost surely, 2^715125600 is an apocalyptic number.

715125600 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 715125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467433422).

715125600 is an abundant number, since it is smaller than the sum of its proper divisors (2219741244).

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

715125600 is a wasteful number, since it uses less digits than its factorization.

715125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 715125600 is about 26741.8323979491. The cubic root of 715125600 is about 894.2537603737.

The spelling of 715125600 in words is "seven hundred fifteen million, one hundred twenty-five thousand, six hundred".