79587840 has 160 divisors (see below), whose sum is σ = 261429696. Its totient is φ = 20643840.

The previous prime is 79587817. The next prime is 79587841. The reversal of 79587840 is 4878597.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79587840.

It is not an unprimeable number, because it can be changed into a prime (79587841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330120 + ... + 330360.

Almost surely, 2^79587840 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 79587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130714848).

79587840 is an abundant number, since it is smaller than the sum of its proper divisors (181841856).

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

79587840 is a wasteful number, since it uses less digits than its factorization.

79587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 79587840 is about 8921.2017127739. The cubic root of 79587840 is about 430.1456870687.

The spelling of 79587840 in words is "seventy-nine million, five hundred eighty-seven thousand, eight hundred forty".