51077808 has 120 divisors (see below), whose sum is σ = 149587152. Its totient is φ = 16257024.

The previous prime is 51077783. The next prime is 51077813. The reversal of 51077808 is 80877015.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 451960 + ... + 452072.

Almost surely, 2^51077808 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 51077808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74793576).

51077808 is an abundant number, since it is smaller than the sum of its proper divisors (98509344).

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

51077808 is a wasteful number, since it uses less digits than its factorization.

51077808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 51077808 is about 7146.8740019676. The cubic root of 51077808 is about 371.0314729320.

The spelling of 51077808 in words is "fifty-one million, seventy-seven thousand, eight hundred eight".