715910400 has 270 divisors, whose sum is σ = 2648963702. Its totient is φ = 190771200.

The previous prime is 715910381. The next prime is 715910401. The reversal of 715910400 is 4019517.

715910400 is a `hidden beast` number, since 71 + 591 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 679332096 = 6048^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715910401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517710 + ... + 519090.

Almost surely, 2^715910400 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 715910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324481851).

715910400 is an abundant number, since it is smaller than the sum of its proper divisors (1933053302).

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

715910400 is a wasteful number, since it uses less digits than its factorization.

715910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 715910400 is about 26756.5020135293. The cubic root of 715910400 is about 894.5807676287.

Adding to 715910400 its reverse (4019517), we get a palindrome (719929917).

The spelling of 715910400 in words is "seven hundred fifteen million, nine hundred ten thousand, four hundred".