801309440880 has 320 divisors, whose sum is σ = 3035625707520. Its totient is φ = 193048372224.

The previous prime is 801309440863. The next prime is 801309440909. The reversal of 801309440880 is 88044903108.

801309440880 is a `hidden beast` number, since 80 + 1 + 3 + 0 + 94 + 408 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016179 + ... + 1623341.

It is an arithmetic number, because the mean of its divisors is an integer number (9486330336).

Almost surely, 2^801309440880 is an apocalyptic number.

801309440880 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 801309440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517812853760).

801309440880 is an abundant number, since it is smaller than the sum of its proper divisors (2234316266640).

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

801309440880 is a wasteful number, since it uses less digits than its factorization.

801309440880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607245 (or 607233 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 801309440880 in words is "eight hundred one billion, three hundred nine million, four hundred forty thousand, eight hundred eighty".