51793280 has 128 divisors (see below), whose sum is σ = 154517760. Its totient is φ = 16128000.

The previous prime is 51793187. The next prime is 51793321. The reversal of 51793280 is 8239715.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (35) 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 51793280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48755 + ... + 49805.

It is an arithmetic number, because the mean of its divisors is an integer number (1207170).

Almost surely, 2^51793280 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 51793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77258880).

51793280 is an abundant number, since it is smaller than the sum of its proper divisors (102724480).

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

51793280 is a wasteful number, since it uses less digits than its factorization.

51793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 51793280 is about 7196.7548242246. The cubic root of 51793280 is about 372.7558532336.

The spelling of 51793280 in words is "fifty-one million, seven hundred ninety-three thousand, two hundred eighty".