537765760 has 256 divisors, whose sum is σ = 1628605440. Its totient is φ = 165445632.

The previous prime is 537765749. The next prime is 537765791. The reversal of 537765760 is 67567735.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 537765760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751527 + ... + 1751833.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^537765760 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 537765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

537765760 is an abundant number, since it is smaller than the sum of its proper divisors (1090839680).

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

537765760 is a wasteful number, since it uses less digits than its factorization.

537765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 46.

The square root of 537765760 is about 23189.7770580055. Note that the first 3 decimals coincide. The cubic root of 537765760 is about 813.2006472313.

It can be divided in two parts, 53776 and 5760, that added together give a square (59536 = 244²).

The spelling of 537765760 in words is "five hundred thirty-seven million, seven hundred sixty-five thousand, seven hundred sixty".