80620800 has 432 divisors, whose sum is σ = 319354560. Its totient is φ = 17694720.

The previous prime is 80620789. The next prime is 80620807. The reversal of 80620800 is 802608.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80620807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4243191 + ... + 4243209.

Almost surely, 2^80620800 is an apocalyptic number.

80620800 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 80620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

80620800 is an abundant number, since it is smaller than the sum of its proper divisors (238733760).

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

80620800 is a wasteful number, since it uses less digits than its factorization.

80620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80620800 is about 8978.9086196486. The cubic root of 80620800 is about 431.9986282535.

Adding to 80620800 its product of nonzero digits (768), we get a cube (80621568 = 432³).

The spelling of 80620800 in words is "eighty million, six hundred twenty thousand, eight hundred".