746800128 has 88 divisors (see below), whose sum is σ = 2211742560. Its totient is φ = 248924160.

The previous prime is 746800091. The next prime is 746800129. The reversal of 746800128 is 821008647.

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

It is a junction number, because it is equal to n+sod(n) for n = 746800092 and 746800101.

It is not an unprimeable number, because it can be changed into a prime (746800129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14143 + ... + 41153.

Almost surely, 2^746800128 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 746800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105871280).

746800128 is an abundant number, since it is smaller than the sum of its proper divisors (1464942432).

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

746800128 is a wasteful number, since it uses less digits than its factorization.

746800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27040 (or 27016 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 746800128 is about 27327.6440257846. The cubic root of 746800128 is about 907.2663314787.

The spelling of 746800128 in words is "seven hundred forty-six million, eight hundred thousand, one hundred twenty-eight".