746087680 has 108 divisors (see below), whose sum is σ = 1935719100. Its totient is φ = 275398656.

The previous prime is 746087677. The next prime is 746087681. The reversal of 746087680 is 86780647.

It can be written as a sum of positive squares in 6 ways, for example, as 397444096 + 348643584 = 19936^2 + 18672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 746087680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746087681) 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 11 ways as a sum of consecutive naturals, for example, 214596 + ... + 218044.

It is an arithmetic number, because the mean of its divisors is an integer number (17923325).

Almost surely, 2^746087680 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 746087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967859550).

746087680 is an abundant number, since it is smaller than the sum of its proper divisors (1189631420).

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

746087680 is a wasteful number, since it uses less digits than its factorization.

746087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 746087680 is about 27314.6056167758. The cubic root of 746087680 is about 906.9777287156.

The spelling of 746087680 in words is "seven hundred forty-six million, eighty-seven thousand, six hundred eighty".