54779760 has 160 divisors (see below), whose sum is σ = 215700480. Its totient is φ = 12517632.

The previous prime is 54779749. The next prime is 54779771. The reversal of 54779760 is 6797745.

It is an interprime number because it is at equal distance from previous prime (54779749) and next prime (54779771).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13309 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (1348128).

Almost surely, 2^54779760 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 54779760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107850240).

54779760 is an abundant number, since it is smaller than the sum of its proper divisors (160920720).

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

54779760 is a wasteful number, since it uses less digits than its factorization.

54779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 54779760 is about 7401.3350147119. The cubic root of 54779760 is about 379.7869535236.

The spelling of 54779760 in words is "fifty-four million, seven hundred seventy-nine thousand, seven hundred sixty".