746780800 has 96 divisors (see below), whose sum is σ = 1862576100. Its totient is φ = 295833600.

The previous prime is 746780773. The next prime is 746780831. The reversal of 746780800 is 8087647.

It can be written as a sum of positive squares in 6 ways, for example, as 548309056 + 198471744 = 23416^2 + 14088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 347730 + ... + 349870.

Almost surely, 2^746780800 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 746780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931288050).

746780800 is an abundant number, since it is smaller than the sum of its proper divisors (1115795300).

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

746780800 is a wasteful number, since it uses less digits than its factorization.

746780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 746780800 is about 27327.2903889134. The cubic root of 746780800 is about 907.2585043979.

The spelling of 746780800 in words is "seven hundred forty-six million, seven hundred eighty thousand, eight hundred".