678993120 has 576 divisors, whose sum is σ = 2773854720. Its totient is φ = 149630976.

The previous prime is 678993089. The next prime is 678993131. The reversal of 678993120 is 21399876.

It is a super-2 number, since 2×678993120² = 922063314014668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8180599 + ... + 8180681.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^678993120 is an apocalyptic number.

678993120 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 678993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

678993120 is an abundant number, since it is smaller than the sum of its proper divisors (2094861600).

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

678993120 is a wasteful number, since it uses less digits than its factorization.

678993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 678993120 is about 26057.4964261726. The cubic root of 678993120 is about 878.9316925956.

The spelling of 678993120 in words is "six hundred seventy-eight million, nine hundred ninety-three thousand, one hundred twenty".