40770080 has 96 divisors (see below), whose sum is σ = 109925424. Its totient is φ = 14155776.

The previous prime is 40770077. The next prime is 40770089. The reversal of 40770080 is 8007704.

It can be written as a sum of positive squares in 8 ways, for example, as 21864976 + 18905104 = 4676^2 + 4348^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40770089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34784 + ... + 35936.

Almost surely, 2^40770080 is an apocalyptic number.

40770080 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 40770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54962712).

40770080 is an abundant number, since it is smaller than the sum of its proper divisors (69155344).

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

40770080 is a wasteful number, since it uses less digits than its factorization.

40770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 40770080 is about 6385.1452606812. The cubic root of 40770080 is about 344.1759510915.

Adding to 40770080 its reverse (8007704), we get a palindrome (48777784).

The spelling of 40770080 in words is "forty million, seven hundred seventy thousand, eighty".