40730800 has 60 divisors (see below), whose sum is σ = 106763256. Its totient is φ = 14809600.

The previous prime is 40730797. The next prime is 40730801. The reversal of 40730800 is 803704.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40730801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 9028.

Almost surely, 2^40730800 is an apocalyptic number.

40730800 is a gapful number since it is divisible by the number (40) 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 40730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53381628).

40730800 is an abundant number, since it is smaller than the sum of its proper divisors (66032456).

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

40730800 is a wasteful number, since it uses less digits than its factorization.

40730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 40730800 is about 6382.0686301543. The cubic root of 40730800 is about 344.0653832814.

The spelling of 40730800 in words is "forty million, seven hundred thirty thousand, eight hundred".