79133984 has 48 divisors (see below), whose sum is σ = 164747520. Its totient is φ = 37340160.

The previous prime is 79133981. The next prime is 79133987. The reversal of 79133984 is 48933197.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79133981) and next prime (79133987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79133981) 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, 57464 + ... + 58824.

It is an arithmetic number, because the mean of its divisors is an integer number (3432240).

Almost surely, 2^79133984 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 79133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82373760).

79133984 is an abundant number, since it is smaller than the sum of its proper divisors (85613536).

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

79133984 is a wasteful number, since it uses less digits than its factorization.

79133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 79133984 is about 8895.7284131205. The cubic root of 79133984 is about 429.3264812078.

The spelling of 79133984 in words is "seventy-nine million, one hundred thirty-three thousand, nine hundred eighty-four".