700131600 has 525 divisors, whose sum is σ = 2942094773. Its totient is φ = 160030080.

The previous prime is 700131577. The next prime is 700131611. The reversal of 700131600 is 6131007.

The square root of 700131600 is 26460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 448084224 = 15876^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (525).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

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 104 ways as a sum of consecutive naturals, for example, 100018797 + ... + 100018803.

Almost surely, 2^700131600 is an apocalyptic number.

700131600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

700131600 is the 26460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700131600

700131600 is an abundant number, since it is smaller than the sum of its proper divisors (2241963173).

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

700131600 is an frugal number, since it uses more digits than its factorization.

700131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The cubic root of 700131600 is about 887.9596402402.

Adding to 700131600 its reverse (6131007), we get a palindrome (706262607).

The spelling of 700131600 in words is "seven hundred million, one hundred thirty-one thousand, six hundred".