678010400 has 72 divisors (see below), whose sum is σ = 1675299024. Its totient is φ = 267910400.

The previous prime is 678010387. The next prime is 678010429. The reversal of 678010400 is 4010876.

It is a self number, because there is not a number n which added to its sum of digits gives 678010400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61295 + ... + 71505.

It is an arithmetic number, because the mean of its divisors is an integer number (23268042).

Almost surely, 2^678010400 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 678010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837649512).

678010400 is an abundant number, since it is smaller than the sum of its proper divisors (997288624).

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

678010400 is a wasteful number, since it uses less digits than its factorization.

678010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 678010400 is about 26038.6328366141. The cubic root of 678010400 is about 878.5074561946.

The spelling of 678010400 in words is "six hundred seventy-eight million, ten thousand, four hundred".