80400960 has 84 divisors (see below), whose sum is σ = 276555708. Its totient is φ = 21439488.

The previous prime is 80400953. The next prime is 80400961. The reversal of 80400960 is 6900408.

It can be written as a sum of positive squares in 2 ways, for example, as 56430144 + 23970816 = 7512^2 + 4896^2 .

It is not an unprimeable number, because it can be changed into a prime (80400961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11079 + ... + 16838.

Almost surely, 2^80400960 is an apocalyptic number.

80400960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80400960 is an abundant number, since it is smaller than the sum of its proper divisors (196154748).

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

80400960 is a wasteful number, since it uses less digits than its factorization.

80400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27940 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80400960 is about 8966.6582403926. The cubic root of 80400960 is about 431.6056071282.

The spelling of 80400960 in words is "eighty million, four hundred thousand, nine hundred sixty".