51779376 has 120 divisors (see below), whose sum is σ = 160187664. Its totient is φ = 15482880.

The previous prime is 51779369. The next prime is 51779407. The reversal of 51779376 is 67397715.

It is a super-2 number, since 2×51779376² = 5362207557898752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 153480 + ... + 153816.

Almost surely, 2^51779376 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 51779376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80093832).

51779376 is an abundant number, since it is smaller than the sum of its proper divisors (108408288).

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

51779376 is a wasteful number, since it uses less digits than its factorization.

51779376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 51779376 is about 7195.7887684395. The cubic root of 51779376 is about 372.7224945866.

The spelling of 51779376 in words is "fifty-one million, seven hundred seventy-nine thousand, three hundred seventy-six".