800409792672 has 576 divisors, whose sum is σ = 2769091920000. Its totient is φ = 224223842304.

The previous prime is 800409792653. The next prime is 800409792701. The reversal of 800409792672 is 276297904008.

800409792672 is a `hidden beast` number, since 80 + 0 + 409 + 7 + 92 + 6 + 72 = 666.

It is a super-3 number, since 3×800409792672³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763021204 + ... + 763022252.

It is an arithmetic number, because the mean of its divisors is an integer number (4807451250).

Almost surely, 2^800409792672 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 800409792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384545960000).

800409792672 is an abundant number, since it is smaller than the sum of its proper divisors (1968682127328).

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

800409792672 is a wasteful number, since it uses less digits than its factorization.

800409792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 800409792672 in words is "eight hundred billion, four hundred nine million, seven hundred ninety-two thousand, six hundred seventy-two".