79822080 has 324 divisors, whose sum is σ = 306348588. Its totient is φ = 19169280.

The previous prime is 79822049. The next prime is 79822109. The reversal of 79822080 is 8022897.

It can be written as a sum of positive squares in 6 ways, for example, as 36578304 + 43243776 = 6048^2 + 6576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946860 + ... + 1946900.

Almost surely, 2^79822080 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 79822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153174294).

79822080 is an abundant number, since it is smaller than the sum of its proper divisors (226526508).

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

79822080 is a wasteful number, since it uses less digits than its factorization.

79822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 79822080 is about 8934.3203434844. The cubic root of 79822080 is about 430.5672700586.

The spelling of 79822080 in words is "seventy-nine million, eight hundred twenty-two thousand, eighty".