800630476800 has 1872 divisors, whose sum is σ = 3540333154176. Its totient is φ = 155713536000.

The previous prime is 800630476741. The next prime is 800630476829. The reversal of 800630476800 is 8674036008.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4423372710 + ... + 4423372890.

It is an arithmetic number, because the mean of its divisors is an integer number (1891203608).

Almost surely, 2^800630476800 is an apocalyptic number.

800630476800 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 800630476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770166577088).

800630476800 is an abundant number, since it is smaller than the sum of its proper divisors (2739702677376).

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

800630476800 is a wasteful number, since it uses less digits than its factorization.

800630476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 800630476800 in words is "eight hundred billion, six hundred thirty million, four hundred seventy-six thousand, eight hundred".