734811840 has 504 divisors, whose sum is σ = 3035515392. Its totient is φ = 162570240.

The previous prime is 734811839. The next prime is 734811851. The reversal of 734811840 is 48118437.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 734811795 and 734811804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5785857 + ... + 5785983.

It is an arithmetic number, because the mean of its divisors is an integer number (6022848).

Almost surely, 2^734811840 is an apocalyptic number.

734811840 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 734811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

734811840 is an abundant number, since it is smaller than the sum of its proper divisors (2300703552).

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

734811840 is a wasteful number, since it uses less digits than its factorization.

734811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 734811840 is about 27107.4130082529. The cubic root of 734811840 is about 902.3853758759.

The spelling of 734811840 in words is "seven hundred thirty-four million, eight hundred eleven thousand, eight hundred forty".