679460080 has 80 divisors (see below), whose sum is σ = 1801384704. Its totient is φ = 236113920.

The previous prime is 679460069. The next prime is 679460081. The reversal of 679460080 is 80064976.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679460081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536 + ... + 36895.

Almost surely, 2^679460080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900692352).

679460080 is an abundant number, since it is smaller than the sum of its proper divisors (1121924624).

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

679460080 is a wasteful number, since it uses less digits than its factorization.

679460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38474 (or 38468 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 679460080 is about 26066.4550716050. The cubic root of 679460080 is about 879.1331339556.

The spelling of 679460080 in words is "six hundred seventy-nine million, four hundred sixty thousand, eighty".