67820800 has 54 divisors (see below), whose sum is σ = 167882918. Its totient is φ = 27125760.

The previous prime is 67820783. The next prime is 67820801. The reversal of 67820800 is 802876.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 67634176 = 432^2 + 8224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67820801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1102 + ... + 11698.

Almost surely, 2^67820800 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 67820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83941459).

67820800 is an abundant number, since it is smaller than the sum of its proper divisors (100062118).

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

67820800 is a wasteful number, since it uses less digits than its factorization.

67820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10604 counting only the distinct ones).

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

The square root of 67820800 is about 8235.3384872754. The cubic root of 67820800 is about 407.8066493829.

The spelling of 67820800 in words is "sixty-seven million, eight hundred twenty thousand, eight hundred".