80276800 has 84 divisors (see below), whose sum is σ = 199558656. Its totient is φ = 31782400.

The previous prime is 80276773. The next prime is 80276803. The reversal of 80276800 is 867208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80276803) 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 11 ways as a sum of consecutive naturals, for example, 209409 + ... + 209791.

Almost surely, 2^80276800 is an apocalyptic number.

80276800 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 80276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779328).

80276800 is an abundant number, since it is smaller than the sum of its proper divisors (119281856).

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

80276800 is a wasteful number, since it uses less digits than its factorization.

80276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 80276800 is about 8959.7321388533. The cubic root of 80276800 is about 431.3833222178.

The spelling of 80276800 in words is "eighty million, two hundred seventy-six thousand, eight hundred".