54777420 has 72 divisors (see below), whose sum is σ = 166827024. Its totient is φ = 14548608.

The previous prime is 54777413. The next prime is 54777439. The reversal of 54777420 is 2477745.

It is a happy number.

54777420 is a `hidden beast` number, since 547 + 77 + 42 + 0 = 666.

54777420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62022 + ... + 62898.

It is an arithmetic number, because the mean of its divisors is an integer number (2317042).

Almost surely, 2^54777420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54777420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83413512).

54777420 is an abundant number, since it is smaller than the sum of its proper divisors (112049604).

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

54777420 is a wasteful number, since it uses less digits than its factorization.

54777420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 54777420 is about 7401.1769334343. The cubic root of 54777420 is about 379.7815457226.

The spelling of 54777420 in words is "fifty-four million, seven hundred seventy-seven thousand, four hundred twenty".