76886832 has 80 divisors (see below), whose sum is σ = 217986048. Its totient is φ = 23159040.

The previous prime is 76886813. The next prime is 76886837. The reversal of 76886832 is 23868867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (76886837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117418 + ... + 118070.

Almost surely, 2^76886832 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 76886832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108993024).

76886832 is an abundant number, since it is smaller than the sum of its proper divisors (141099216).

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

76886832 is a wasteful number, since it uses less digits than its factorization.

76886832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 76886832 is about 8768.5136710847. The cubic root of 76886832 is about 425.2235631165.

The spelling of 76886832 in words is "seventy-six million, eight hundred eighty-six thousand, eight hundred thirty-two".