61782768 has 60 divisors (see below), whose sum is σ = 173457648. Its totient is φ = 20528640.

The previous prime is 61782767. The next prime is 61782779. The reversal of 61782768 is 86728716.

61782768 is a `hidden beast` number, since 617 + 8 + 27 + 6 + 8 = 666.

It is a super-2 number, since 2×61782768² = 7634220843483648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61782767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69688 + ... + 70568.

Almost surely, 2^61782768 is an apocalyptic number.

It is an amenable number.

61782768 is an abundant number, since it is smaller than the sum of its proper divisors (111674880).

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

61782768 is a wasteful number, since it uses less digits than its factorization.

61782768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 61782768 is about 7860.2015241341. The cubic root of 61782768 is about 395.3263723555.

The spelling of 61782768 in words is "sixty-one million, seven hundred eighty-two thousand, seven hundred sixty-eight".