746856000 has 672 divisors, whose sum is σ = 3115397376. Its totient is φ = 168960000.

The previous prime is 746855983. The next prime is 746856007. The reversal of 746856000 is 658647.

It is a happy number.

746856000 is a `hidden beast` number, since 7 + 46 + 8 + 5 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (746856007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18215980 + ... + 18216020.

It is an arithmetic number, because the mean of its divisors is an integer number (4636008).

Almost surely, 2^746856000 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 746856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557698688).

746856000 is an abundant number, since it is smaller than the sum of its proper divisors (2368541376).

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

746856000 is a wasteful number, since it uses less digits than its factorization.

746856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 746856000 is about 27328.6662682247. Note that the first 3 decimals coincide. The cubic root of 746856000 is about 907.2889566848.

The spelling of 746856000 in words is "seven hundred forty-six million, eight hundred fifty-six thousand".