68720800 has 144 divisors (see below), whose sum is σ = 184488192. Its totient is φ = 24883200.

The previous prime is 68720791. The next prime is 68720819. The reversal of 68720800 is 802786.

68720800 = T₂₂₄ + T₂₂₅ + ... + T₇₅₀.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421519 + ... + 421681.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^68720800 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 68720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92244096).

68720800 is an abundant number, since it is smaller than the sum of its proper divisors (115767392).

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

68720800 is a wasteful number, since it uses less digits than its factorization.

68720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

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

The square root of 68720800 is about 8289.8009626287. The cubic root of 68720800 is about 409.6026290725.

The spelling of 68720800 in words is "sixty-eight million, seven hundred twenty thousand, eight hundred".