807459840000 has 1680 divisors, whose sum is σ = 3353345835840. Its totient is φ = 192430080000.

The previous prime is 807459839951. The next prime is 807459840017. The reversal of 807459840000 is 48954708.

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 119 ways as a sum of consecutive naturals, for example, 13685759971 + ... + 13685760029.

It is an arithmetic number, because the mean of its divisors is an integer number (1996039188).

Almost surely, 2^807459840000 is an apocalyptic number.

807459840000 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 807459840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676672917920).

807459840000 is an abundant number, since it is smaller than the sum of its proper divisors (2545885995840).

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

807459840000 is an frugal number, since it uses more digits than its factorization.

807459840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 807459840000 in words is "eight hundred seven billion, four hundred fifty-nine million, eight hundred forty thousand".