45767808 has 256 divisors, whose sum is σ = 154224000. Its totient is φ = 13271040.

The previous prime is 45767797. The next prime is 45767809. The reversal of 45767808 is 80876754.

45767808 is a `hidden beast` number, since 4 + 576 + 78 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45767809) 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 31 ways as a sum of consecutive naturals, for example, 1116268 + ... + 1116308.

Almost surely, 2^45767808 is an apocalyptic number.

45767808 is a gapful number since it is divisible by the number (48) 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 45767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

45767808 is an abundant number, since it is smaller than the sum of its proper divisors (108456192).

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

45767808 is a wasteful number, since it uses less digits than its factorization.

45767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 45767808 is about 6765.1909063972. The cubic root of 45767808 is about 357.7009039157.

It can be divided in two parts, 457 and 67808, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 45767808 in words is "forty-five million, seven hundred sixty-seven thousand, eight hundred eight".