807889680 has 160 divisors (see below), whose sum is σ = 2996891520. Its totient is φ = 198858240.

The previous prime is 807889679. The next prime is 807889717. The reversal of 807889680 is 86988708.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13695 + ... + 42465.

It is an arithmetic number, because the mean of its divisors is an integer number (18730572).

Almost surely, 2^807889680 is an apocalyptic number.

807889680 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 807889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498445760).

807889680 is an abundant number, since it is smaller than the sum of its proper divisors (2189001840).

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

807889680 is a wasteful number, since it uses less digits than its factorization.

807889680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28806 (or 28794 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 807889680 is about 28423.4002188338. The cubic root of 807889680 is about 931.3595100861.

The spelling of 807889680 in words is "eight hundred seven million, eight hundred eighty-nine thousand, six hundred eighty".