51797760 has 288 divisors, whose sum is σ = 197793792. Its totient is φ = 11304960.

The previous prime is 51797747. The next prime is 51797789. The reversal of 51797760 is 6779715.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1102057 + ... + 1102103.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 2^51797760 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 51797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

51797760 is an abundant number, since it is smaller than the sum of its proper divisors (145996032).

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

51797760 is a wasteful number, since it uses less digits than its factorization.

51797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 51797760 is about 7197.0660688922. The cubic root of 51797760 is about 372.7666004327.

The spelling of 51797760 in words is "fifty-one million, seven hundred ninety-seven thousand, seven hundred sixty".