51779900 has 72 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 19349440.

The previous prime is 51779899. The next prime is 51779929. The reversal of 51779900 is 997715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107861 + ... + 108339.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^51779900 is an apocalyptic number.

51779900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51779900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

51779900 is an abundant number, since it is smaller than the sum of its proper divisors (68212420).

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

51779900 is a wasteful number, since it uses less digits than its factorization.

51779900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 51779900 is about 7195.8251785323. The cubic root of 51779900 is about 372.7237518821.

The spelling of 51779900 in words is "fifty-one million, seven hundred seventy-nine thousand, nine hundred".