79289280 has 560 divisors, whose sum is σ = 354055680. Its totient is φ = 16422912.

The previous prime is 79289279. The next prime is 79289293. The reversal of 79289280 is 8298297.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447349 + ... + 3447371.

Almost surely, 2^79289280 is an apocalyptic number.

79289280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027840).

79289280 is an abundant number, since it is smaller than the sum of its proper divisors (274766400).

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

79289280 is a wasteful number, since it uses less digits than its factorization.

79289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 79289280 is about 8904.4528186745. The cubic root of 79289280 is about 429.6071407321.

The spelling of 79289280 in words is "seventy-nine million, two hundred eighty-nine thousand, two hundred eighty".