740829760 has 252 divisors, whose sum is σ = 2085092604. Its totient is φ = 250398720.

The previous prime is 740829667. The next prime is 740829767. The reversal of 740829760 is 67928047.

It can be written as a sum of positive squares in 2 ways, for example, as 402564096 + 338265664 = 20064^2 + 18392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740829767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13977894 + ... + 13977946.

It is an arithmetic number, because the mean of its divisors is an integer number (8274177).

Almost surely, 2^740829760 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 740829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042546302).

740829760 is an abundant number, since it is smaller than the sum of its proper divisors (1344262844).

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

740829760 is a wasteful number, since it uses less digits than its factorization.

740829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 740829760 is about 27218.1880366787. The cubic root of 740829760 is about 904.8421160633.

The spelling of 740829760 in words is "seven hundred forty million, eight hundred twenty-nine thousand, seven hundred sixty".