740344800 has 288 divisors, whose sum is σ = 2644518240. Its totient is φ = 178790400.

The previous prime is 740344789. The next prime is 740344807. The reversal of 740344800 is 8443047.

It is a super-2 number, since 2×740344800² = 1096220845774080000, which contains 22 as substring.

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 (740344807) 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 47 ways as a sum of consecutive naturals, for example, 1903006 + ... + 1903394.

It is an arithmetic number, because the mean of its divisors is an integer number (9182355).

Almost surely, 2^740344800 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 740344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322259120).

740344800 is an abundant number, since it is smaller than the sum of its proper divisors (1904173440).

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

740344800 is a wasteful number, since it uses less digits than its factorization.

740344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

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

The square root of 740344800 is about 27209.2778294463. The cubic root of 740344800 is about 904.6446311878.

Adding to 740344800 its reverse (8443047), we get a palindrome (748787847).

The spelling of 740344800 in words is "seven hundred forty million, three hundred forty-four thousand, eight hundred".