76893756 has 48 divisors (see below), whose sum is σ = 185297280. Its totient is φ = 24805440.

The previous prime is 76893727. The next prime is 76893757. The reversal of 76893756 is 65739867.

It is a junction number, because it is equal to n+sod(n) for n = 76893699 and 76893708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76893757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46626 + ... + 48246.

It is an arithmetic number, because the mean of its divisors is an integer number (3860360).

Almost surely, 2^76893756 is an apocalyptic number.

It is an amenable number.

76893756 is an abundant number, since it is smaller than the sum of its proper divisors (108403524).

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

76893756 is a wasteful number, since it uses less digits than its factorization.

76893756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 76893756 is about 8768.9084839563. The cubic root of 76893756 is about 425.2363271555.

The spelling of 76893756 in words is "seventy-six million, eight hundred ninety-three thousand, seven hundred fifty-six".