700951680 has 768 divisors, whose sum is σ = 3047466240. Its totient is φ = 145981440.

The previous prime is 700951639. The next prime is 700951687. The reversal of 700951680 is 86159007.

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

It is not an unprimeable number, because it can be changed into a prime (700951687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18944622 + ... + 18944658.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^700951680 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 700951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

700951680 is an abundant number, since it is smaller than the sum of its proper divisors (2346514560).

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

700951680 is a wasteful number, since it uses less digits than its factorization.

700951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 700951680 is about 26475.4920634159. The cubic root of 700951680 is about 888.3062007099.

The spelling of 700951680 in words is "seven hundred million, nine hundred fifty-one thousand, six hundred eighty".