678164400 has 180 divisors, whose sum is σ = 2440932312. Its totient is φ = 180817920.

The previous prime is 678164387. The next prime is 678164413. The reversal of 678164400 is 4461876.

678164400 is a `hidden beast` number, since 6 + 7 + 8 + 1 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (678164387) and next prime (678164413).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93712 + ... + 100688.

Almost surely, 2^678164400 is an apocalyptic number.

678164400 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 678164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220466156).

678164400 is an abundant number, since it is smaller than the sum of its proper divisors (1762767912).

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

678164400 is a wasteful number, since it uses less digits than its factorization.

678164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 678164400 is about 26041.5898132199. The cubic root of 678164400 is about 878.5739644696.

The spelling of 678164400 in words is "six hundred seventy-eight million, one hundred sixty-four thousand, four hundred".