74814300 has 216 divisors, whose sum is σ = 265521200. Its totient is φ = 18057600.

The previous prime is 74814251. The next prime is 74814319. The reversal of 74814300 is 341847.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326586 + ... + 326814.

Almost surely, 2^74814300 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 74814300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132760600).

74814300 is an abundant number, since it is smaller than the sum of its proper divisors (190706900).

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

74814300 is a wasteful number, since it uses less digits than its factorization.

74814300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74814300 is about 8649.5259985736. The cubic root of 74814300 is about 421.3679884459.

It can be divided in two parts, 7481 and 4300, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 74814300 in words is "seventy-four million, eight hundred fourteen thousand, three hundred".