807347805120 has 896 divisors, whose sum is σ = 3085902489600. Its totient is φ = 197959680000.

The previous prime is 807347805107. The next prime is 807347805127. The reversal of 807347805120 is 21508743708.

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 (807347805127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2248879501 + ... + 2248879859.

It is an arithmetic number, because the mean of its divisors is an integer number (3444087600).

Almost surely, 2^807347805120 is an apocalyptic number.

807347805120 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 807347805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542951244800).

807347805120 is an abundant number, since it is smaller than the sum of its proper divisors (2278554684480).

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

807347805120 is a wasteful number, since it uses less digits than its factorization.

807347805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 807347805120 in words is "eight hundred seven billion, three hundred forty-seven million, eight hundred five thousand, one hundred twenty".