743828400 has 240 divisors, whose sum is σ = 3025996800. Its totient is φ = 170000640.

The previous prime is 743828389. The next prime is 743828401. The reversal of 743828400 is 4828347.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (743828401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70681 + ... + 80519.

It is an arithmetic number, because the mean of its divisors is an integer number (12608320).

Almost surely, 2^743828400 is an apocalyptic number.

743828400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512998400).

743828400 is an abundant number, since it is smaller than the sum of its proper divisors (2282168400).

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

743828400 is a wasteful number, since it uses less digits than its factorization.

743828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 743828400 is about 27273.2176319553. The cubic root of 743828400 is about 906.0613089514.

The spelling of 743828400 in words is "seven hundred forty-three million, eight hundred twenty-eight thousand, four hundred".