734855940 has 648 divisors, whose sum is σ = 3075476040. Its totient is φ = 140894208.

The previous prime is 734855903. The next prime is 734855941. The reversal of 734855940 is 49558437.

It can be written as a sum of positive squares in 12 ways, for example, as 300883716 + 433972224 = 17346^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734855941) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25339846 + ... + 25339874.

It is an arithmetic number, because the mean of its divisors is an integer number (4746105).

Almost surely, 2^734855940 is an apocalyptic number.

734855940 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 734855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537738020).

734855940 is an abundant number, since it is smaller than the sum of its proper divisors (2340620100).

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

734855940 is a wasteful number, since it uses less digits than its factorization.

734855940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 734855940 is about 27108.2264266772. The cubic root of 734855940 is about 902.4034278437.

The spelling of 734855940 in words is "seven hundred thirty-four million, eight hundred fifty-five thousand, nine hundred forty".