746552800 has 144 divisors (see below), whose sum is σ = 2155174560. Its totient is φ = 247080960.

The previous prime is 746552797. The next prime is 746552809. The reversal of 746552800 is 8255647.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 746552800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746552809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160102 + ... + 164698.

It is an arithmetic number, because the mean of its divisors is an integer number (14966490).

Almost surely, 2^746552800 is an apocalyptic number.

746552800 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 746552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077587280).

746552800 is an abundant number, since it is smaller than the sum of its proper divisors (1408621760).

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

746552800 is a wasteful number, since it uses less digits than its factorization.

746552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 746552800 is about 27323.1184164619. The cubic root of 746552800 is about 907.1661631583.

The spelling of 746552800 in words is "seven hundred forty-six million, five hundred fifty-two thousand, eight hundred".