80516800 has 252 divisors, whose sum is σ = 251338080. Its totient is φ = 25159680.

The previous prime is 80516797. The next prime is 80516803. The reversal of 80516800 is 861508.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80516797) and next prime (80516803).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (80516803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019161 + ... + 1019239.

Almost surely, 2^80516800 is an apocalyptic number.

80516800 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 80516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

80516800 is an abundant number, since it is smaller than the sum of its proper divisors (170821280).

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

80516800 is a wasteful number, since it uses less digits than its factorization.

80516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 80516800 is about 8973.1154010188. The cubic root of 80516800 is about 431.8127903969.

The spelling of 80516800 in words is "eighty million, five hundred sixteen thousand, eight hundred".