79581680 has 40 divisors (see below), whose sum is σ = 187575792. Its totient is φ = 31394304.

The previous prime is 79581659. The next prime is 79581701. The reversal of 79581680 is 8618597.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79581659) and next prime (79581701).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 12653.

Almost surely, 2^79581680 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 79581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93787896).

79581680 is an abundant number, since it is smaller than the sum of its proper divisors (107994112).

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

79581680 is a wasteful number, since it uses less digits than its factorization.

79581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 79581680 is about 8920.8564611252. The cubic root of 79581680 is about 430.1345892017.

The spelling of 79581680 in words is "seventy-nine million, five hundred eighty-one thousand, six hundred eighty".