74797920 has 144 divisors (see below), whose sum is σ = 257886720. Its totient is φ = 19740672.

The previous prime is 74797913. The next prime is 74797939. The reversal of 74797920 is 2979747.

It is a happy number.

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 a congruent number.

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, 182676 + ... + 183084.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 2^74797920 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 74797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128943360).

74797920 is an abundant number, since it is smaller than the sum of its proper divisors (183088800).

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

74797920 is a wasteful number, since it uses less digits than its factorization.

74797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 74797920 is about 8648.5790740445. The cubic root of 74797920 is about 421.3372344705.

The spelling of 74797920 in words is "seventy-four million, seven hundred ninety-seven thousand, nine hundred twenty".