68799280 has 80 divisors (see below), whose sum is σ = 179301024. Its totient is φ = 24330240.

The previous prime is 68799253. The next prime is 68799299. The reversal of 68799280 is 8299786.

68799280 = 191² + 192² + ... + 597².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31504 + ... + 33616.

Almost surely, 2^68799280 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 68799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89650512).

68799280 is an abundant number, since it is smaller than the sum of its proper divisors (110501744).

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

68799280 is a wasteful number, since it uses less digits than its factorization.

68799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 68799280 is about 8294.5331393635. The cubic root of 68799280 is about 409.7584935036.

It can be divided in two parts, 687 and 99280, that multiplied together give a triangular number (68205360 = T₁₁₆₇₉).

The spelling of 68799280 in words is "sixty-eight million, seven hundred ninety-nine thousand, two hundred eighty".