808303680 has 336 divisors, whose sum is σ = 2918545344. Its totient is φ = 205148160.

The previous prime is 808303679. The next prime is 808303711. The reversal of 808303680 is 86303808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554187 + ... + 7554293.

Almost surely, 2^808303680 is an apocalyptic number.

808303680 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 808303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459272672).

808303680 is an abundant number, since it is smaller than the sum of its proper divisors (2110241664).

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

808303680 is a wasteful number, since it uses less digits than its factorization.

808303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 808303680 is about 28430.6820178483. The cubic root of 808303680 is about 931.5185734673.

The spelling of 808303680 in words is "eight hundred eight million, three hundred three thousand, six hundred eighty".