75827776 has 28 divisors (see below), whose sum is σ = 151944832. Its totient is φ = 37542528.

The previous prime is 75827729. The next prime is 75827783. The reversal of 75827776 is 67772857.

It is a super-3 number, since 3×75827776³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 841 + ... + 12343.

Almost surely, 2^75827776 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 75827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75972416).

75827776 is an abundant number, since it is smaller than the sum of its proper divisors (76117056).

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

75827776 is a wasteful number, since it uses less digits than its factorization.

75827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11608 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 49.

The square root of 75827776 is about 8707.9145609038. The cubic root of 75827776 is about 423.2621556952.

The spelling of 75827776 in words is "seventy-five million, eight hundred twenty-seven thousand, seven hundred seventy-six".