807819005952 has 624 divisors, whose sum is σ = 2851672666752. Its totient is φ = 215073423360.

The previous prime is 807819005897. The next prime is 807819006031. The reversal of 807819005952 is 259500918708.

It is a super-2 number, since 2×807819005952² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469388452 + ... + 469390172.

It is an arithmetic number, because the mean of its divisors is an integer number (4569988248).

Almost surely, 2^807819005952 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 807819005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425836333376).

807819005952 is an abundant number, since it is smaller than the sum of its proper divisors (2043853660800).

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

807819005952 is a wasteful number, since it uses less digits than its factorization.

807819005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 807819005952 in words is "eight hundred seven billion, eight hundred nineteen million, five thousand, nine hundred fifty-two".