79278480 has 240 divisors, whose sum is σ = 292362240. Its totient is φ = 19740672.

The previous prime is 79278443. The next prime is 79278481. The reversal of 79278480 is 8487297.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×79278480² = 12570154782220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (79278481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624177 + ... + 624303.

It is an arithmetic number, because the mean of its divisors is an integer number (1218176).

Almost surely, 2^79278480 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 79278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

79278480 is an abundant number, since it is smaller than the sum of its proper divisors (213083760).

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

79278480 is a wasteful number, since it uses less digits than its factorization.

79278480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 79278480 is about 8903.8463598604. The cubic root of 79278480 is about 429.5876342372.

The spelling of 79278480 in words is "seventy-nine million, two hundred seventy-eight thousand, four hundred eighty".