74880120 has 128 divisors (see below), whose sum is σ = 259660800. Its totient is φ = 16920576.

The previous prime is 74880107. The next prime is 74880131. The reversal of 74880120 is 2108847.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81021 + ... + 81939.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2^74880120 is an apocalyptic number.

74880120 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 74880120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830400).

74880120 is an abundant number, since it is smaller than the sum of its proper divisors (184780680).

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

74880120 is a wasteful number, since it uses less digits than its factorization.

74880120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 74880120 is about 8653.3299948632. The cubic root of 74880120 is about 421.4915223673.

Adding to 74880120 its reverse (2108847), we get a palindrome (76988967).

The spelling of 74880120 in words is "seventy-four million, eight hundred eighty thousand, one hundred twenty".