74760 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 16896.

The previous prime is 74759. The next prime is 74761. The reversal of 74760 is 6747.

It is an interprime number because it is at equal distance from previous prime (74759) and next prime (74761).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 74760.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 74760.

It is not an unprimeable number, because it can be changed into a prime (74761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁷⁴⁷⁶⁰ is an apocalyptic number.

74760 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 74760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

74760 is an abundant number, since it is smaller than the sum of its proper divisors (184440).

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

74760 is a wasteful number, since it uses less digits than its factorization.

74760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 74760 is about 273.4227496021. The cubic root of 74760 is about 42.1266021222.

The spelling of 74760 in words is "seventy-four thousand, seven hundred sixty".