74286080 has 88 divisors (see below), whose sum is σ = 194546880. Its totient is φ = 26992640.

The previous prime is 74286077. The next prime is 74286083. The reversal of 74286080 is 8068247.

It is an interprime number because it is at equal distance from previous prime (74286077) and next prime (74286083).

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 74286080.

It is not an unprimeable number, because it can be changed into a prime (74286083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55661 + ... + 56979.

It is an arithmetic number, because the mean of its divisors is an integer number (2210760).

Almost surely, 2^74286080 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 74286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97273440).

74286080 is an abundant number, since it is smaller than the sum of its proper divisors (120260800).

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

74286080 is a wasteful number, since it uses less digits than its factorization.

74286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 74286080 is about 8618.9372894806. The cubic root of 74286080 is about 420.3739677519.

The spelling of 74286080 in words is "seventy-four million, two hundred eighty-six thousand, eighty".