74978280 has 192 divisors, whose sum is σ = 270138960. Its totient is φ = 17915904.

The previous prime is 74978263. The next prime is 74978287. The reversal of 74978280 is 8287947.

74978280 is a `hidden beast` number, since 7 + 497 + 82 + 80 = 666.

It is a Cunningham number, because it is equal to 8659²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 18818244 + 56160036 = 4338^2 + 7494^2 .

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 (74978287) 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, 172944 + ... + 173376.

Almost surely, 2^74978280 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 74978280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

74978280 is an abundant number, since it is smaller than the sum of its proper divisors (195160680).

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

74978280 is a wasteful number, since it uses less digits than its factorization.

74978280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

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

The square root of 74978280 is about 8658.9999422566. Note that the first 4 decimals coincide. The cubic root of 74978280 is about 421.6756190371.

The spelling of 74978280 in words is "seventy-four million, nine hundred seventy-eight thousand, two hundred eighty".