812626960 has 80 divisors (see below), whose sum is σ = 2011478400. Its totient is φ = 304432128.

The previous prime is 812626949. The next prime is 812626973. The reversal of 812626960 is 69626218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×812626960² = 1320725152237683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 132277 + ... + 138283.

It is an arithmetic number, because the mean of its divisors is an integer number (25143480).

Almost surely, 2^812626960 is an apocalyptic number.

812626960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812626960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005739200).

812626960 is an abundant number, since it is smaller than the sum of its proper divisors (1198851440).

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

812626960 is a wasteful number, since it uses less digits than its factorization.

812626960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 812626960 is about 28506.6125662100. The cubic root of 812626960 is about 933.1763897106.

The spelling of 812626960 in words is "eight hundred twelve million, six hundred twenty-six thousand, nine hundred sixty".