76836032 has 112 divisors (see below), whose sum is σ = 191170560. Its totient is φ = 29832192.

The previous prime is 76836017. The next prime is 76836037. The reversal of 76836032 is 23063867.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 76835983 and 76836001.

It is not an unprimeable number, because it can be changed into a prime (76836037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460013 + ... + 460179.

It is an arithmetic number, because the mean of its divisors is an integer number (1706880).

Almost surely, 2^76836032 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 76836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95585280).

76836032 is an abundant number, since it is smaller than the sum of its proper divisors (114334528).

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

76836032 is a wasteful number, since it uses less digits than its factorization.

76836032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 76836032 is about 8765.6164643452. The cubic root of 76836032 is about 425.1298924769.

Adding to 76836032 its reverse (23063867), we get a palindrome (99899899).

The spelling of 76836032 in words is "seventy-six million, eight hundred thirty-six thousand, thirty-two".