40757760 has 240 divisors, whose sum is σ = 148416840. Its totient is φ = 10321920.

The previous prime is 40757753. The next prime is 40757767. The reversal of 40757760 is 6775704.

It is an interprime number because it is at equal distance from previous prime (40757753) and next prime (40757767).

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 19079424 = 4656^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40757760² = 3322390000435200, which contains 22 as substring.

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 (40757767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668130 + ... + 668190.

Almost surely, 2^40757760 is an apocalyptic number.

40757760 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 40757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74208420).

40757760 is an abundant number, since it is smaller than the sum of its proper divisors (107659080).

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

40757760 is a wasteful number, since it uses less digits than its factorization.

40757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 40757760 is about 6384.1804485776. The cubic root of 40757760 is about 344.1412796290.

The spelling of 40757760 in words is "forty million, seven hundred fifty-seven thousand, seven hundred sixty".