812672500 has 90 divisors (see below), whose sum is σ = 1831368462. Its totient is φ = 315360000.

The previous prime is 812672491. The next prime is 812672507. The reversal of 812672500 is 5276218.

It can be written as a sum of positive squares in 15 ways, for example, as 799984656 + 12687844 = 28284^2 + 3562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812672507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11132464 + ... + 11132536.

Almost surely, 2^812672500 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 812672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915684231).

812672500 is an abundant number, since it is smaller than the sum of its proper divisors (1018695962).

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

812672500 is an equidigital number, since it uses as much as digits as its factorization.

812672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 812672500 is about 28507.4113170593. The cubic root of 812672500 is about 933.1938212673.

The spelling of 812672500 in words is "eight hundred twelve million, six hundred seventy-two thousand, five hundred".