40776320 has 128 divisors (see below), whose sum is σ = 109242000. Its totient is φ = 14536704.

The previous prime is 40776313. The next prime is 40776343. The reversal of 40776320 is 2367704.

It can be written as a sum of positive squares in 8 ways, for example, as 2534464 + 38241856 = 1592^2 + 6184^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406066 + ... + 1406094.

Almost surely, 2^40776320 is an apocalyptic number.

40776320 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 40776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621000).

40776320 is an abundant number, since it is smaller than the sum of its proper divisors (68465680).

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

40776320 is an equidigital number, since it uses as much as digits as its factorization.

40776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 40776320 is about 6385.6338761316. The cubic root of 40776320 is about 344.1935092974.

The spelling of 40776320 in words is "forty million, seven hundred seventy-six thousand, three hundred twenty".