74780400 has 120 divisors (see below), whose sum is σ = 242310384. Its totient is φ = 19712000.

The previous prime is 74780393. The next prime is 74780417. The reversal of 74780400 is 408747.

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 (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 23 ways as a sum of consecutive naturals, for example, 120892 + ... + 121508.

Almost surely, 2^74780400 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 74780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121155192).

74780400 is an abundant number, since it is smaller than the sum of its proper divisors (167529984).

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

74780400 is a wasteful number, since it uses less digits than its factorization.

74780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 74780400 is about 8647.5661315771. The cubic root of 74780400 is about 421.3043351386.

The spelling of 74780400 in words is "seventy-four million, seven hundred eighty thousand, four hundred".