734382400 has 84 divisors (see below), whose sum is σ = 1814657788. Its totient is φ = 292515840.

The previous prime is 734382391. The next prime is 734382403. The reversal of 734382400 is 4283437.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 118548544 + 615833856 = 10888^2 + 24816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734382403) 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 11 ways as a sum of consecutive naturals, for example, 442372 + ... + 444028.

Almost surely, 2^734382400 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 734382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907328894).

734382400 is an abundant number, since it is smaller than the sum of its proper divisors (1080275388).

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

734382400 is a wasteful number, since it uses less digits than its factorization.

734382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 734382400 is about 27099.4907701233. The cubic root of 734382400 is about 902.2095504146.

The spelling of 734382400 in words is "seven hundred thirty-four million, three hundred eighty-two thousand, four hundred".