80428800 has 216 divisors, whose sum is σ = 273732480. Its totient is φ = 20787200.

The previous prime is 80428783. The next prime is 80428807. The reversal of 80428800 is 882408.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80428807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132765 + ... + 1132835.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^80428800 is an apocalyptic number.

80428800 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 80428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

80428800 is an abundant number, since it is smaller than the sum of its proper divisors (193303680).

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

80428800 is a wasteful number, since it uses less digits than its factorization.

80428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 80428800 is about 8968.2105238448. The cubic root of 80428800 is about 431.6554179492.

The spelling of 80428800 in words is "eighty million, four hundred twenty-eight thousand, eight hundred".