45778080 has 96 divisors (see below), whose sum is σ = 145139904. Its totient is φ = 12128256.

The previous prime is 45778079. The next prime is 45778097. The reversal of 45778080 is 8087754.

It is a tau number, because it is divible by the number of its divisors (96).

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, 135672 + ... + 136008.

It is an arithmetic number, because the mean of its divisors is an integer number (1511874).

Almost surely, 2^45778080 is an apocalyptic number.

45778080 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 45778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72569952).

45778080 is an abundant number, since it is smaller than the sum of its proper divisors (99361824).

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

45778080 is a wasteful number, since it uses less digits than its factorization.

45778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 45778080 is about 6765.9500441549. The cubic root of 45778080 is about 357.7276623805.

The spelling of 45778080 in words is "forty-five million, seven hundred seventy-eight thousand, eighty".