70400008900 has 135 divisors (see below), whose sum is σ = 166559084979. Its totient is φ = 25828283520.

The previous prime is 70400008879. The next prime is 70400008937. The reversal of 70400008900 is 980000407.

The square root of 70400008900 is 265330.

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

It can be written as a sum of positive squares in 22 ways, for example, as 12469295556 + 57930713344 = 111666^2 + 240688^2 .

It is a super-2 number, since 2×70400008900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 448407622 + ... + 448407778.

Almost surely, 2^70400008900 is an apocalyptic number.

70400008900 is the 265330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70400008900

70400008900 is an abundant number, since it is smaller than the sum of its proper divisors (96159076079).

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

70400008900 is an equidigital number, since it uses as much as digits as its factorization.

70400008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 70400008900 in words is "seventy billion, four hundred million, eight thousand, nine hundred".