74753300 has 72 divisors (see below), whose sum is σ = 169911000. Its totient is φ = 28510720.

The previous prime is 74753293. The next prime is 74753309. The reversal of 74753300 is 335747.

It can be written as a sum of positive squares in 12 ways, for example, as 17205904 + 57547396 = 4148^2 + 7586^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74753309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 432014 + ... + 432186.

It is an arithmetic number, because the mean of its divisors is an integer number (2359875).

Almost surely, 2^74753300 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 74753300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84955500).

74753300 is an abundant number, since it is smaller than the sum of its proper divisors (95157700).

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

74753300 is a wasteful number, since it uses less digits than its factorization.

74753300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 74753300 is about 8645.9990747166. Note that the first 3 decimals coincide. The cubic root of 74753300 is about 421.2534362090.

The spelling of 74753300 in words is "seventy-four million, seven hundred fifty-three thousand, three hundred".