679752000 has 280 divisors, whose sum is σ = 2517114600. Its totient is φ = 181094400.

The previous prime is 679751993. The next prime is 679752011. The reversal of 679752000 is 257976.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 679332096 = 648^2 + 26064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647476 + ... + 648524.

It is an arithmetic number, because the mean of its divisors is an integer number (8989695).

Almost surely, 2^679752000 is an apocalyptic number.

679752000 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 679752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258557300).

679752000 is an abundant number, since it is smaller than the sum of its proper divisors (1837362600).

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

679752000 is a wasteful number, since it uses less digits than its factorization.

679752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 679752000 is about 26072.0540042399. The cubic root of 679752000 is about 879.2590181232.

The spelling of 679752000 in words is "six hundred seventy-nine million, seven hundred fifty-two thousand".