79429952 has 56 divisors (see below), whose sum is σ = 181929024. Its totient is φ = 33702912.

The previous prime is 79429951. The next prime is 79429969. The reversal of 79429952 is 25992497.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 79429897 and 79429906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79429951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47108 + ... + 48764.

Almost surely, 2^79429952 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 79429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90964512).

79429952 is an abundant number, since it is smaller than the sum of its proper divisors (102499072).

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

79429952 is a wasteful number, since it uses less digits than its factorization.

With its successor (79429953) it forms an eRAP, since the sums of their prime factors are consecutive (1783 and 1784).

79429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1773 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 79429952 is about 8912.3482876288. The cubic root of 79429952 is about 429.8610548012.

The spelling of 79429952 in words is "seventy-nine million, four hundred twenty-nine thousand, nine hundred fifty-two".