71813280400 has 45 divisors (see below), whose sum is σ = 172544283561. Its totient is φ = 28723168320.

The previous prime is 71813280373. The next prime is 71813280431. The reversal of 71813280400 is 408231817.

It is a happy number.

The square root of 71813280400 is 267980.

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., 25852780944 + 45960499456 = 160788^2 + 214384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5352901 + ... + 5366299.

Almost surely, 2^71813280400 is an apocalyptic number.

71813280400 is the 267980-th square number.

It is an amenable number.

71813280400 is an abundant number, since it is smaller than the sum of its proper divisors (100731003161).

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

71813280400 is an frugal number, since it uses more digits than its factorization.

71813280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26816 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 71813280400 in words is "seventy-one billion, eight hundred thirteen million, two hundred eighty thousand, four hundred".