678932400 has 240 divisors, whose sum is σ = 2404560384. Its totient is φ = 162877440.

The previous prime is 678932323. The next prime is 678932467. The reversal of 678932400 is 4239876.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 468477 + ... + 469923.

Almost surely, 2^678932400 is an apocalyptic number.

678932400 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 678932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202280192).

678932400 is an abundant number, since it is smaller than the sum of its proper divisors (1725627984).

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

678932400 is a wasteful number, since it uses less digits than its factorization.

678932400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 678932400 is about 26056.3312843539. The cubic root of 678932400 is about 878.9054918769.

The spelling of 678932400 in words is "six hundred seventy-eight million, nine hundred thirty-two thousand, four hundred".