74867760 has 320 divisors, whose sum is σ = 295695360. Its totient is φ = 17233920.

The previous prime is 74867753. The next prime is 74867797. The reversal of 74867760 is 6776847.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546412 + ... + 546548.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 2^74867760 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 74867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

74867760 is an abundant number, since it is smaller than the sum of its proper divisors (220827600).

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

74867760 is a wasteful number, since it uses less digits than its factorization.

74867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 74867760 is about 8652.6157894593. The cubic root of 74867760 is about 421.4683300884.

The spelling of 74867760 in words is "seventy-four million, eight hundred sixty-seven thousand, seven hundred sixty".