40768000 has 240 divisors, whose sum is σ = 127351224. Its totient is φ = 12902400.

The previous prime is 40767973. The next prime is 40768001. The reversal of 40768000 is 86704.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 35236096 = 2352^2 + 5936^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40768001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135994 + ... + 3136006.

Almost surely, 2^40768000 is an apocalyptic number.

40768000 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 40768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

40768000 is an abundant number, since it is smaller than the sum of its proper divisors (86583224).

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

40768000 is an equidigital number, since it uses as much as digits as its factorization.

40768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 40768000 is about 6384.9823805552. The cubic root of 40768000 is about 344.1700979581.

The spelling of 40768000 in words is "forty million, seven hundred sixty-eight thousand".