740795328 has 336 divisors, whose sum is σ = 2732288160. Its totient is φ = 195084288.

The previous prime is 740795317. The next prime is 740795329. The reversal of 740795328 is 823597047.

740795328 is a `hidden beast` number, since 7 + 40 + 79 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740795329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100400 + ... + 1101072.

It is an arithmetic number, because the mean of its divisors is an integer number (8131810).

Almost surely, 2^740795328 is an apocalyptic number.

740795328 is a gapful number since it is divisible by the number (78) 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 740795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366144080).

740795328 is an abundant number, since it is smaller than the sum of its proper divisors (1991492832).

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

740795328 is a wasteful number, since it uses less digits than its factorization.

740795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 740795328 is about 27217.5555111035. Note that the first 4 decimals coincide. The cubic root of 740795328 is about 904.8280975451.

The spelling of 740795328 in words is "seven hundred forty million, seven hundred ninety-five thousand, three hundred twenty-eight".