80064800 has 72 divisors (see below), whose sum is σ = 200307492. Its totient is φ = 31232000.

The previous prime is 80064767. The next prime is 80064811. The reversal of 80064800 is 846008.

It can be written as a sum of positive squares in 6 ways, for example, as 1281424 + 78783376 = 1132^2 + 8876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80064800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31580 + ... + 34020.

Almost surely, 2^80064800 is an apocalyptic number.

80064800 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 80064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100153746).

80064800 is an abundant number, since it is smaller than the sum of its proper divisors (120242692).

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

80064800 is a wasteful number, since it uses less digits than its factorization.

80064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 80064800 is about 8947.8936068775. The cubic root of 80064800 is about 431.0032460821.

It can be divided in two parts, 800 and 64800, that multiplied together give a square (51840000 = 7200²).

The spelling of 80064800 in words is "eighty million, sixty-four thousand, eight hundred".