8003097680 has 40 divisors (see below), whose sum is σ = 18624368232. Its totient is φ = 3198285824.

The previous prime is 8003097653. The next prime is 8003097709. The reversal of 8003097680 is 867903008.

It can be written as a sum of positive squares in 4 ways, for example, as 916151824 + 7086945856 = 30268^2 + 84184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42164 + ... + 133356.

Almost surely, 2^8003097680 is an apocalyptic number.

8003097680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8003097680 is an abundant number, since it is smaller than the sum of its proper divisors (10621270552).

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

8003097680 is a wasteful number, since it uses less digits than its factorization.

8003097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92303 (or 92297 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 8003097680 is about 89460.0339816613. The cubic root of 8003097680 is about 2000.2581066890.

The spelling of 8003097680 in words is "eight billion, three million, ninety-seven thousand, six hundred eighty".