45777888 has 72 divisors (see below), whose sum is σ = 140206248. Its totient is φ = 14084352.

The previous prime is 45777887. The next prime is 45777911. The reversal of 45777888 is 88877754.

It is a tau number, because it is divible by the number of its divisors (72).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45777881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370 + ... + 9857.

It is an arithmetic number, because the mean of its divisors is an integer number (1947309).

Almost surely, 2^45777888 is an apocalyptic number.

45777888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45777888 is an abundant number, since it is smaller than the sum of its proper divisors (94428360).

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

45777888 is a wasteful number, since it uses less digits than its factorization.

45777888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 12245 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The square root of 45777888 is about 6765.9358554453. The cubic root of 45777888 is about 357.7271622590.

It can be divided in two parts, 45777 and 888, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45777888 in words is "forty-five million, seven hundred seventy-seven thousand, eight hundred eighty-eight".