715983840 has 768 divisors, whose sum is σ = 3149798400. Its totient is φ = 149299200.

The previous prime is 715983839. The next prime is 715983847. The reversal of 715983840 is 48389517.

It is a super-2 number, since 2×715983840² = 1025265718282291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715983847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11737410 + ... + 11737470.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^715983840 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 715983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

715983840 is an abundant number, since it is smaller than the sum of its proper divisors (2433814560).

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

715983840 is a wasteful number, since it uses less digits than its factorization.

715983840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 715983840 is about 26757.8743550380. The cubic root of 715983840 is about 894.6113560772.

The spelling of 715983840 in words is "seven hundred fifteen million, nine hundred eighty-three thousand, eight hundred forty".