54277776 has 200 divisors, whose sum is σ = 186289664. Its totient is φ = 14929920.

The previous prime is 54277771. The next prime is 54277781. The reversal of 54277776 is 67777245.

It is an interprime number because it is at equal distance from previous prime (54277771) and next prime (54277781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54277771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281136 + ... + 281328.

Almost surely, 2^54277776 is an apocalyptic number.

54277776 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 54277776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93144832).

54277776 is an abundant number, since it is smaller than the sum of its proper divisors (132011888).

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

54277776 is a wasteful number, since it uses less digits than its factorization.

54277776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 54277776 is about 7367.3452477809. The cubic root of 54277776 is about 378.6233102402.

It can be divided in two parts, 5427 and 7776, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 54277776 in words is "fifty-four million, two hundred seventy-seven thousand, seven hundred seventy-six".