45758080 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 16773120.

The previous prime is 45758057. The next prime is 45758081. The reversal of 45758080 is 8085754.

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

It is not an unprimeable number, because it can be changed into a prime (45758081) 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 15 ways as a sum of consecutive naturals, for example, 644445 + ... + 644515.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^45758080 is an apocalyptic number.

45758080 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 45758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

45758080 is an abundant number, since it is smaller than the sum of its proper divisors (73214720).

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

45758080 is a wasteful number, since it uses less digits than its factorization.

45758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 45758080 is about 6764.4718936514. The cubic root of 45758080 is about 357.6755588743.

The spelling of 45758080 in words is "forty-five million, seven hundred fifty-eight thousand, eighty".