80360800 has 72 divisors (see below), whose sum is σ = 211298976. Its totient is φ = 29667840.

The previous prime is 80360783. The next prime is 80360807. The reversal of 80360800 is 806308.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80360807) 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, 6537 + ... + 14263.

It is an arithmetic number, because the mean of its divisors is an integer number (2934708).

Almost surely, 2^80360800 is an apocalyptic number.

80360800 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 80360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105649488).

80360800 is an abundant number, since it is smaller than the sum of its proper divisors (130938176).

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

80360800 is a wasteful number, since it uses less digits than its factorization.

80360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 80360800 is about 8964.4185533698. The cubic root of 80360800 is about 431.5337333265.

The spelling of 80360800 in words is "eighty million, three hundred sixty thousand, eight hundred".