45787680 has 120 divisors (see below), whose sum is σ = 161638092. Its totient is φ = 12206592.

The previous prime is 45787669. The next prime is 45787699. The reversal of 45787680 is 8678754.

45787680 is a `hidden beast` number, since 4 + 578 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 467856 = 6732^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 11194 + ... + 14726.

Almost surely, 2^45787680 is an apocalyptic number.

45787680 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 45787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80819046).

45787680 is an abundant number, since it is smaller than the sum of its proper divisors (115850412).

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

45787680 is a wasteful number, since it uses less digits than its factorization.

45787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3543 counting only the distinct ones).

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

The square root of 45787680 is about 6766.6594417039. The cubic root of 45787680 is about 357.7526666732.

The spelling of 45787680 in words is "forty-five million, seven hundred eighty-seven thousand, six hundred eighty".