706815720 has 320 divisors, whose sum is σ = 2599747920. Its totient is φ = 171196416.

The previous prime is 706815719. The next prime is 706815731. The reversal of 706815720 is 27518607.

706815720 is a `hidden beast` number, since 7 + 0 + 6 + 81 + 572 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 316911204 + 389904516 = 17802^2 + 19746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4085554 + ... + 4085726.

Almost surely, 2^706815720 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 706815720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299873960).

706815720 is an abundant number, since it is smaller than the sum of its proper divisors (1892932200).

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

706815720 is a wasteful number, since it uses less digits than its factorization.

706815720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 706815720 is about 26586.0060934319. The cubic root of 706815720 is about 890.7764633259.

The spelling of 706815720 in words is "seven hundred six million, eight hundred fifteen thousand, seven hundred twenty".