54077760 has 224 divisors, whose sum is σ = 208483200. Its totient is φ = 13086720.

The previous prime is 54077759. The next prime is 54077783. The reversal of 54077760 is 6777045.

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

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, 94756 + ... + 95324.

Almost surely, 2^54077760 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 54077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

54077760 is an abundant number, since it is smaller than the sum of its proper divisors (154405440).

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

54077760 is a wasteful number, since it uses less digits than its factorization.

54077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 54077760 is about 7353.7582228409. The cubic root of 54077760 is about 378.1576565835.

It can be divided in two parts, 540 and 77760, that multiplied together give a square (41990400 = 6480²).

The spelling of 54077760 in words is "fifty-four million, seventy-seven thousand, seven hundred sixty".