80768640 has 256 divisors, whose sum is σ = 282009600. Its totient is φ = 19599360.

The previous prime is 80768599. The next prime is 80768659. The reversal of 80768640 is 4686708.

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, 1368931 + ... + 1368989.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^80768640 is an apocalyptic number.

80768640 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 80768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

80768640 is an abundant number, since it is smaller than the sum of its proper divisors (201240960).

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

80768640 is a wasteful number, since it uses less digits than its factorization.

80768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 80768640 is about 8987.1374753032. The cubic root of 80768640 is about 432.2625290417.

The spelling of 80768640 in words is "eighty million, seven hundred sixty-eight thousand, six hundred forty".