800468951040 has 672 divisors, whose sum is σ = 3041626363776. Its totient is φ = 193120174080.

The previous prime is 800468951017. The next prime is 800468951041. The reversal of 800468951040 is 40159864008.

800468951040 is a `hidden beast` number, since 80 + 0 + 468 + 9 + 5 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800468951041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244896959 + ... + 1244897601.

It is an arithmetic number, because the mean of its divisors is an integer number (4526229708).

Almost surely, 2^800468951040 is an apocalyptic number.

800468951040 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 800468951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520813181888).

800468951040 is an abundant number, since it is smaller than the sum of its proper divisors (2241157412736).

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

800468951040 is a wasteful number, since it uses less digits than its factorization.

800468951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 800468951040 in words is "eight hundred billion, four hundred sixty-eight million, nine hundred fifty-one thousand, forty".