79205280 has 192 divisors, whose sum is σ = 311205888. Its totient is φ = 16450560.

The previous prime is 79205263. The next prime is 79205297. The reversal of 79205280 is 8250297.

It is an interprime number because it is at equal distance from previous prime (79205263) and next prime (79205297).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 35889 + ... + 38031.

It is an arithmetic number, because the mean of its divisors is an integer number (1620864).

Almost surely, 2^79205280 is an apocalyptic number.

79205280 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 79205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155602944).

79205280 is an abundant number, since it is smaller than the sum of its proper divisors (232000608).

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

79205280 is a wasteful number, since it uses less digits than its factorization.

79205280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 79205280 is about 8899.7348275103. The cubic root of 79205280 is about 429.4553768325.

The spelling of 79205280 in words is "seventy-nine million, two hundred five thousand, two hundred eighty".