55776 has 48 divisors (see below), whose sum is σ = 169344. Its totient is φ = 15744.

The previous prime is 55763. The next prime is 55787. The reversal of 55776 is 67755.

55776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×55776² = 6221924352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

55776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁵⁵⁷⁷⁶ is an apocalyptic number.

55776 is a gapful number since it is divisible by the number (56) 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 55776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

55776 is an abundant number, since it is smaller than the sum of its proper divisors (113568).

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

55776 is a wasteful number, since it uses less digits than its factorization.

55776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 7350, while the sum is 30.

The square root of 55776 is about 236.1694307060. The cubic root of 55776 is about 38.2075439904.

The spelling of 55776 in words is "fifty-five thousand, seven hundred seventy-six".