734822400 has 384 divisors, whose sum is σ = 2730450240. Its totient is φ = 173015040.

The previous prime is 734822383. The next prime is 734822401. The reversal of 734822400 is 4228437.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734822401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31948789 + ... + 31948811.

Almost surely, 2^734822400 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 734822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365225120).

734822400 is an abundant number, since it is smaller than the sum of its proper divisors (1995627840).

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

734822400 is a wasteful number, since it uses less digits than its factorization.

734822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 734822400 is about 27107.6077882206. The cubic root of 734822400 is about 902.3896985897.

The spelling of 734822400 in words is "seven hundred thirty-four million, eight hundred twenty-two thousand, four hundred".