80028960 has 192 divisors, whose sum is σ = 287400960. Its totient is φ = 18529280.

The previous prime is 80028953. The next prime is 80028967. The reversal of 80028960 is 6982008.

It is an interprime number because it is at equal distance from previous prime (80028953) and next prime (80028967).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (80028967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121111 + ... + 121769.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^80028960 is an apocalyptic number.

80028960 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 80028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

80028960 is an abundant number, since it is smaller than the sum of its proper divisors (207372000).

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

80028960 is a wasteful number, since it uses less digits than its factorization.

80028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 80028960 is about 8945.8906767297. The cubic root of 80028960 is about 430.9389254243.

The spelling of 80028960 in words is "eighty million, twenty-eight thousand, nine hundred sixty".