80455680 has 240 divisors, whose sum is σ = 291351060. Its totient is φ = 21233664.

The previous prime is 80455673. The next prime is 80455699. The reversal of 80455680 is 8655408.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 746496 = 8928^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 19 ways as a sum of consecutive naturals, for example, 829392 + ... + 829488.

Almost surely, 2^80455680 is an apocalyptic number.

80455680 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 80455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145675530).

80455680 is an abundant number, since it is smaller than the sum of its proper divisors (210895380).

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

80455680 is an equidigital number, since it uses as much as digits as its factorization.

80455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80455680 is about 8969.7090253809. The cubic root of 80455680 is about 431.7035002500.

The spelling of 80455680 in words is "eighty million, four hundred fifty-five thousand, six hundred eighty".