79575420 has 144 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 19176192.

The previous prime is 79575409. The next prime is 79575427. The reversal of 79575420 is 2457597.

79575420 is a nontrivial binomial coefficient, being equal to C(12616, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79575427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958699 + ... + 958781.

It is an arithmetic number, because the mean of its divisors is an integer number (1707160).

Almost surely, 2^79575420 is an apocalyptic number.

79575420 is the 12615-th triangular number and also the 6308-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79575420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

79575420 is an abundant number, since it is smaller than the sum of its proper divisors (166255620).

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

79575420 is a wasteful number, since it uses less digits than its factorization.

79575420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 79575420 is about 8920.5055910526. The cubic root of 79575420 is about 430.1233105878.

The spelling of 79575420 in words is "seventy-nine million, five hundred seventy-five thousand, four hundred twenty".