54779600 has 30 divisors (see below), whose sum is σ = 131608950. Its totient is φ = 21911680.

The previous prime is 54779597. The next prime is 54779611. The reversal of 54779600 is 697745.

It can be written as a sum of positive squares in 3 ways, for example, as 18731584 + 36048016 = 4328^2 + 6004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68075 + ... + 68874.

It is an arithmetic number, because the mean of its divisors is an integer number (4386965).

Almost surely, 2^54779600 is an apocalyptic number.

54779600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54779600 is an abundant number, since it is smaller than the sum of its proper divisors (76829350).

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

54779600 is a wasteful number, since it uses less digits than its factorization.

54779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136967 (or 136956 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 54779600 is about 7401.3242058432. The cubic root of 54779600 is about 379.7865837644.

The spelling of 54779600 in words is "fifty-four million, seven hundred seventy-nine thousand, six hundred".