807336499680 has 480 divisors, whose sum is σ = 3004437744000. Its totient is φ = 203601558528.

The previous prime is 807336499663. The next prime is 807336499691. The reversal of 807336499680 is 86994633708.

807336499680 is a `hidden beast` number, since 80 + 7 + 3 + 3 + 6 + 499 + 68 + 0 = 666.

807336499680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158329771 + ... + 158334869.

It is an arithmetic number, because the mean of its divisors is an integer number (6259245300).

Almost surely, 2^807336499680 is an apocalyptic number.

807336499680 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 807336499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502218872000).

807336499680 is an abundant number, since it is smaller than the sum of its proper divisors (2197101244320).

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

807336499680 is a wasteful number, since it uses less digits than its factorization.

807336499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 807336499680 in words is "eight hundred seven billion, three hundred thirty-six million, four hundred ninety-nine thousand, six hundred eighty".