51770880 has 320 divisors, whose sum is σ = 212129280. Its totient is φ = 11722752.

The previous prime is 51770879. The next prime is 51770909. The reversal of 51770880 is 8807715.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 483787 + ... + 483893.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^51770880 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 51770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

51770880 is an abundant number, since it is smaller than the sum of its proper divisors (160358400).

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

51770880 is a wasteful number, since it uses less digits than its factorization.

51770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

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

The square root of 51770880 is about 7195.1983989324. The cubic root of 51770880 is about 372.7021079400.

It can be divided in two parts, 51770 and 880, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 51770880 in words is "fifty-one million, seven hundred seventy thousand, eight hundred eighty".