807199680 has 224 divisors, whose sum is σ = 2957681664. Its totient is φ = 182697984.

The previous prime is 807199663. The next prime is 807199691. The reversal of 807199680 is 86991708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758829 + ... + 759891.

It is an arithmetic number, because the mean of its divisors is an integer number (13203936).

Almost surely, 2^807199680 is an apocalyptic number.

807199680 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 807199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478840832).

807199680 is an abundant number, since it is smaller than the sum of its proper divisors (2150481984).

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

807199680 is a wasteful number, since it uses less digits than its factorization.

807199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 807199680 is about 28411.2597397581. The cubic root of 807199680 is about 931.0942836495.

The spelling of 807199680 in words is "eight hundred seven million, one hundred ninety-nine thousand, six hundred eighty".