74753400 has 96 divisors (see below), whose sum is σ = 239270400. Its totient is φ = 19286400.

The previous prime is 74753377. The next prime is 74753401. The reversal of 74753400 is 435747.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74753401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16591 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (2492400).

Almost surely, 2^74753400 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 74753400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119635200).

74753400 is an abundant number, since it is smaller than the sum of its proper divisors (164517000).

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

74753400 is a wasteful number, since it uses less digits than its factorization.

74753400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 74753400 is about 8646.0048577363. The cubic root of 74753400 is about 421.2536240505.

The spelling of 74753400 in words is "seventy-four million, seven hundred fifty-three thousand, four hundred".