715849680 has 320 divisors, whose sum is σ = 2774822400. Its totient is φ = 148635648.

The previous prime is 715849669. The next prime is 715849697. The reversal of 715849680 is 86948517.

It is a super-2 number, since 2×715849680² = 1024881528712204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1594096 + ... + 1594544.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2^715849680 is an apocalyptic number.

715849680 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 715849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387411200).

715849680 is an abundant number, since it is smaller than the sum of its proper divisors (2058972720).

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

715849680 is a wasteful number, since it uses less digits than its factorization.

715849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 715849680 is about 26755.3673119993. The cubic root of 715849680 is about 894.5554755996. Note that the first 3 decimals are identical.

The spelling of 715849680 in words is "seven hundred fifteen million, eight hundred forty-nine thousand, six hundred eighty".