68276880 has 480 divisors, whose sum is σ = 297123840. Its totient is φ = 13685760.

The previous prime is 68276869. The next prime is 68276893. The reversal of 68276880 is 8867286.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202465 + ... + 2202495.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^68276880 is an apocalyptic number.

68276880 is a gapful number since it is divisible by the number (60) 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 68276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

68276880 is an abundant number, since it is smaller than the sum of its proper divisors (228846960).

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

68276880 is a wasteful number, since it uses less digits than its factorization.

68276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 68276880 is about 8262.9825123862. The cubic root of 68276880 is about 408.7187446291.

The spelling of 68276880 in words is "sixty-eight million, two hundred seventy-six thousand, eight hundred eighty".