62880800 has 72 divisors (see below), whose sum is σ = 155521296. Its totient is φ = 24823040.

The previous prime is 62880793. The next prime is 62880809. The reversal of 62880800 is 808826.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (62880809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65927 + ... + 66873.

It is an arithmetic number, because the mean of its divisors is an integer number (2160018).

Almost surely, 2^62880800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760648).

62880800 is an abundant number, since it is smaller than the sum of its proper divisors (92640496).

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

62880800 is a wasteful number, since it uses less digits than its factorization.

62880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 62880800 is about 7929.7414838064. The cubic root of 62880800 is about 397.6546080534.

The spelling of 62880800 in words is "sixty-two million, eight hundred eighty thousand, eight hundred".