54077320 has 48 divisors (see below), whose sum is σ = 133752780. Its totient is φ = 19662720.

The previous prime is 54077297. The next prime is 54077327. The reversal of 54077320 is 2377045.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 407044 = 7326^2 + 638^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54077327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747 + ... + 10426.

Almost surely, 2^54077320 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 54077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66876390).

54077320 is an abundant number, since it is smaller than the sum of its proper divisors (79675460).

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

54077320 is a wasteful number, since it uses less digits than its factorization.

54077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 54077320 is about 7353.7283061043. The cubic root of 54077320 is about 378.1566309627.

The spelling of 54077320 in words is "fifty-four million, seventy-seven thousand, three hundred twenty".