54780320 has 96 divisors (see below), whose sum is σ = 150595200. Its totient is φ = 18441216.

The previous prime is 54780311. The next prime is 54780329. The reversal of 54780320 is 2308745.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54780311) and next prime (54780329).

It is not an unprimeable number, because it can be changed into a prime (54780329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65666 + ... + 66494.

It is an arithmetic number, because the mean of its divisors is an integer number (1568700).

Almost surely, 2^54780320 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 54780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75297600).

54780320 is an abundant number, since it is smaller than the sum of its proper divisors (95814880).

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

54780320 is a wasteful number, since it uses less digits than its factorization.

54780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 54780320 is about 7401.3728456280. The cubic root of 54780320 is about 379.7882476754.

The spelling of 54780320 in words is "fifty-four million, seven hundred eighty thousand, three hundred twenty".