79642440 has 160 divisors (see below), whose sum is σ = 273905280. Its totient is φ = 20746368.

The previous prime is 79642427. The next prime is 79642447. The reversal of 79642440 is 4424697.

79642440 is a `hidden beast` number, since 7 + 9 + 642 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79642395 and 79642404.

It is not an unprimeable number, because it can be changed into a prime (79642447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152019 + ... + 152541.

It is an arithmetic number, because the mean of its divisors is an integer number (1711908).

Almost surely, 2^79642440 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 79642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136952640).

79642440 is an abundant number, since it is smaller than the sum of its proper divisors (194262840).

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

79642440 is a wasteful number, since it uses less digits than its factorization.

79642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 79642440 is about 8924.2613139688. The cubic root of 79642440 is about 430.2440295033.

It can be divided in two parts, 7964 and 2440, that added together give a square (10404 = 102²).

The spelling of 79642440 in words is "seventy-nine million, six hundred forty-two thousand, four hundred forty".