734307840 has 480 divisors, whose sum is σ = 3025788480. Its totient is φ = 161021952.

The previous prime is 734307829. The next prime is 734307841. The reversal of 734307840 is 48703437.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 734307795 and 734307804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734307841) 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, 4677042 + ... + 4677198.

It is an arithmetic number, because the mean of its divisors is an integer number (6303726).

Almost surely, 2^734307840 is an apocalyptic number.

734307840 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 734307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512894240).

734307840 is an abundant number, since it is smaller than the sum of its proper divisors (2291480640).

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

734307840 is a wasteful number, since it uses less digits than its factorization.

734307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 734307840 is about 27098.1150635981. The cubic root of 734307840 is about 902.1790163583.

The spelling of 734307840 in words is "seven hundred thirty-four million, three hundred seven thousand, eight hundred forty".