45178080 has 48 divisors (see below), whose sum is σ = 142312464. Its totient is φ = 12047360.

The previous prime is 45178057. The next prime is 45178087. The reversal of 45178080 is 8087154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×45178080³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45178087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46581 + ... + 47540.

It is an arithmetic number, because the mean of its divisors is an integer number (2964843).

Almost surely, 2^45178080 is an apocalyptic number.

45178080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45178080 is an abundant number, since it is smaller than the sum of its proper divisors (97134384).

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

45178080 is a wasteful number, since it uses less digits than its factorization.

45178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94139 (or 94131 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 45178080 is about 6721.4641262154. The cubic root of 45178080 is about 356.1579066353.

The spelling of 45178080 in words is "forty-five million, one hundred seventy-eight thousand, eighty".