800476992 has 448 divisors, whose sum is σ = 2932582400. Its totient is φ = 211631616.

The previous prime is 800476979. The next prime is 800476993. The reversal of 800476992 is 299674008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800476993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18615723 + ... + 18615765.

Almost surely, 2^800476992 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 800476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466291200).

800476992 is an abundant number, since it is smaller than the sum of its proper divisors (2132105408).

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

800476992 is an equidigital number, since it uses as much as digits as its factorization.

800476992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 800476992 is about 28292.7020978909. The cubic root of 800476992 is about 928.5022301277.

The spelling of 800476992 in words is "eight hundred million, four hundred seventy-six thousand, nine hundred ninety-two".