74779920 has 120 divisors (see below), whose sum is σ = 252710016. Its totient is φ = 19816704.

The previous prime is 74779907. The next prime is 74779931. The reversal of 74779920 is 2997747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 203577 + ... + 203943.

Almost surely, 2^74779920 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 74779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126355008).

74779920 is an abundant number, since it is smaller than the sum of its proper divisors (177930096).

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

74779920 is a wasteful number, since it uses less digits than its factorization.

74779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

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

The square root of 74779920 is about 8647.5383780588. The cubic root of 74779920 is about 421.3034337147.

The spelling of 74779920 in words is "seventy-four million, seven hundred seventy-nine thousand, nine hundred twenty".