700072064 has 64 divisors (see below), whose sum is σ = 1456407000. Its totient is φ = 334774272.

The previous prime is 700072063. The next prime is 700072067. The reversal of 700072064 is 460270007.

It can be written as a sum of positive squares in 4 ways, for example, as 416486464 + 283585600 = 20408^2 + 16840^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (700072063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418622 + ... + 420290.

Almost surely, 2^700072064 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 700072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728203500).

700072064 is an abundant number, since it is smaller than the sum of its proper divisors (756334936).

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

700072064 is a wasteful number, since it uses less digits than its factorization.

700072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 700072064 is about 26458.8749571859. The cubic root of 700072064 is about 887.9344701799.

The spelling of 700072064 in words is "seven hundred million, seventy-two thousand, sixty-four".