74967840 has 144 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 19708416.

The previous prime is 74967817. The next prime is 74967853. The reversal of 74967840 is 4876947.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113431 + ... + 114089.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^74967840 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 74967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

74967840 is an abundant number, since it is smaller than the sum of its proper divisors (184491360).

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

74967840 is a wasteful number, since it uses less digits than its factorization.

74967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74967840 is about 8658.3970802915. The cubic root of 74967840 is about 421.6560467120.

The spelling of 74967840 in words is "seventy-four million, nine hundred sixty-seven thousand, eight hundred forty".