679172400 has 180 divisors, whose sum is σ = 2386362888. Its totient is φ = 178851840.

The previous prime is 679172393. The next prime is 679172411. The reversal of 679172400 is 4271976.

It is a happy number.

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

It is a super-2 number, since 2×679172400² = 922550297843520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297664 + ... + 299936.

Almost surely, 2^679172400 is an apocalyptic number.

679172400 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 679172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193181444).

679172400 is an abundant number, since it is smaller than the sum of its proper divisors (1707190488).

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

679172400 is a wasteful number, since it uses less digits than its factorization.

679172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 679172400 is about 26060.9362840248. The cubic root of 679172400 is about 879.0090429166.

The spelling of 679172400 in words is "six hundred seventy-nine million, one hundred seventy-two thousand, four hundred".