812467876900 has 81 divisors (see below), whose sum is σ = 1843513082481. Its totient is φ = 310777954080.

The previous prime is 812467876889. The next prime is 812467876939. The reversal of 812467876900 is 9678764218.

The square root of 812467876900 is 901370.

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., 292488435684 + 519979441216 = 540822^2 + 721096^2 .

It is a super-2 number, since 2×812467876900² (a number of 25 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 26 ways as a sum of consecutive naturals, for example, 207313141 + ... + 207317059.

Almost surely, 2^812467876900 is an apocalyptic number.

812467876900 is the 901370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812467876900

812467876900 is an abundant number, since it is smaller than the sum of its proper divisors (1031045205581).

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

812467876900 is an equidigital number, since it uses as much as digits as its factorization.

812467876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 812467876900 in words is "eight hundred twelve billion, four hundred sixty-seven million, eight hundred seventy-six thousand, nine hundred".