746380800 has 720 divisors, whose sum is σ = 3166225920. Its totient is φ = 165888000.

The previous prime is 746380787. The next prime is 746380807. The reversal of 746380800 is 8083647.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746380807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24076785 + ... + 24076815.

It is an arithmetic number, because the mean of its divisors is an integer number (4397536).

Almost surely, 2^746380800 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 746380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583112960).

746380800 is an abundant number, since it is smaller than the sum of its proper divisors (2419845120).

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

746380800 is a wasteful number, since it uses less digits than its factorization.

746380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 746380800 is about 27319.9707174074. The cubic root of 746380800 is about 907.0964897811.

The spelling of 746380800 in words is "seven hundred forty-six million, three hundred eighty thousand, eight hundred".