76867032 has 64 divisors (see below), whose sum is σ = 210418560. Its totient is φ = 23206400.

The previous prime is 76867031. The next prime is 76867033. The reversal of 76867032 is 23076867.

It is an interprime number because it is at equal distance from previous prime (76867031) and next prime (76867033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76867031) 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, 129328 + ... + 129920.

It is an arithmetic number, because the mean of its divisors is an integer number (3287790).

Almost surely, 2^76867032 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 76867032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105209280).

76867032 is an abundant number, since it is smaller than the sum of its proper divisors (133551528).

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

76867032 is a wasteful number, since it uses less digits than its factorization.

76867032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 76867032 is about 8767.3845586925. The cubic root of 76867032 is about 425.1870586021.

The spelling of 76867032 in words is "seventy-six million, eight hundred sixty-seven thousand, thirty-two".