812460672 has 128 divisors (see below), whose sum is σ = 2524296000. Its totient is φ = 256545792.

The previous prime is 812460637. The next prime is 812460697. The reversal of 812460672 is 276064218.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59478 + ... + 71850.

Almost surely, 2^812460672 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 812460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262148000).

812460672 is an abundant number, since it is smaller than the sum of its proper divisors (1711835328).

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

812460672 is a wasteful number, since it uses less digits than its factorization.

812460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 812460672 is about 28503.6957603747. The cubic root of 812460672 is about 933.1127333513.

The spelling of 812460672 in words is "eight hundred twelve million, four hundred sixty thousand, six hundred seventy-two".