79090416 has 120 divisors (see below), whose sum is σ = 231721776. Its totient is φ = 25159680.

The previous prime is 79090411. The next prime is 79090421. The reversal of 79090416 is 61409097.

79090416 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (79090411) and next prime (79090421).

It is a super-3 number, since 3×79090416³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79090411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328056 + ... + 328296.

Almost surely, 2^79090416 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 79090416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115860888).

79090416 is an abundant number, since it is smaller than the sum of its proper divisors (152631360).

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

79090416 is a wasteful number, since it uses less digits than its factorization.

79090416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 79090416 is about 8893.2792602054. The cubic root of 79090416 is about 429.2476767593.

The spelling of 79090416 in words is "seventy-nine million, ninety thousand, four hundred sixteen".