54777840 has 160 divisors (see below), whose sum is σ = 185779776. Its totient is φ = 13271040.

The previous prime is 54777799. The next prime is 54777851. The reversal of 54777840 is 4877745.

It is a super-2 number, since 2×54777840² = 6001223510131200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54777792 and 54777801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302550 + ... + 302730.

Almost surely, 2^54777840 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 54777840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92889888).

54777840 is an abundant number, since it is smaller than the sum of its proper divisors (131001936).

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

54777840 is a wasteful number, since it uses less digits than its factorization.

54777840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 54777840 is about 7401.2053072456. The cubic root of 54777840 is about 379.7825163649.

It can be divided in two parts, 547 and 77840, that added together give a palindrome (78387).

The spelling of 54777840 in words is "fifty-four million, seven hundred seventy-seven thousand, eight hundred forty".