747878400 has 288 divisors, whose sum is σ = 2752167600. Its totient is φ = 199065600.

The previous prime is 747878381. The next prime is 747878407. The reversal of 747878400 is 4878747.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747878407) 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, 1382130 + ... + 1382670.

Almost surely, 2^747878400 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 747878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376083800).

747878400 is an abundant number, since it is smaller than the sum of its proper divisors (2004289200).

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

747878400 is a wasteful number, since it uses less digits than its factorization.

747878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 747878400 is about 27347.3655038287. The cubic root of 747878400 is about 907.7027755332.

The spelling of 747878400 in words is "seven hundred forty-seven million, eight hundred seventy-eight thousand, four hundred".