55077760 has 64 divisors (see below), whose sum is σ = 134946000. Its totient is φ = 21483520.

The previous prime is 55077733. The next prime is 55077767. The reversal of 55077760 is 6777055.

55077760 is a nontrivial binomial coefficient, being equal to C(10496, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55077767) 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, 25191 + ... + 27289.

Almost surely, 2^55077760 is an apocalyptic number.

55077760 is the 10495-th triangular number and also the 5248-th hexagonal number.

55077760 is the 3499-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67473000).

55077760 is an abundant number, since it is smaller than the sum of its proper divisors (79868240).

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

55077760 is a wasteful number, since it uses less digits than its factorization.

55077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 55077760 is about 7421.4392135219. The cubic root of 55077760 is about 380.4743844574.

The spelling of 55077760 in words is "fifty-five million, seventy-seven thousand, seven hundred sixty".