79541280 has 288 divisors, whose sum is σ = 334623744. Its totient is φ = 16754688.

The previous prime is 79541279. The next prime is 79541281. The reversal of 79541280 is 8214597.

It is an interprime number because it is at equal distance from previous prime (79541279) and next prime (79541281).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (79541281) 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, 130737 + ... + 131343.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^79541280 is an apocalyptic number.

79541280 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 79541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

79541280 is an abundant number, since it is smaller than the sum of its proper divisors (255082464).

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

79541280 is a wasteful number, since it uses less digits than its factorization.

79541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 79541280 is about 8918.5918170976. The cubic root of 79541280 is about 430.0617902911.

The spelling of 79541280 in words is "seventy-nine million, five hundred forty-one thousand, two hundred eighty".