74610080 has 48 divisors (see below), whose sum is σ = 176899464. Its totient is φ = 29736960.

The previous prime is 74610079. The next prime is 74610083. The reversal of 74610080 is 8001647.

It can be written as a sum of positive squares in 4 ways, for example, as 69822736 + 4787344 = 8356^2 + 2188^2 .

It is not an unprimeable number, because it can be changed into a prime (74610083) 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, 55820 + ... + 57140.

Almost surely, 2^74610080 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 74610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88449732).

74610080 is an abundant number, since it is smaller than the sum of its proper divisors (102289384).

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

74610080 is a wasteful number, since it uses less digits than its factorization.

74610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 74610080 is about 8637.7126601896. The cubic root of 74610080 is about 420.9842374436.

The spelling of 74610080 in words is "seventy-four million, six hundred ten thousand, eighty".