80764992 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 20943360.

The previous prime is 80764987. The next prime is 80764997. The reversal of 80764992 is 29946708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80764987) and next prime (80764997).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (80764997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132753 + ... + 133359.

Almost surely, 2^80764992 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 80764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

80764992 is an abundant number, since it is smaller than the sum of its proper divisors (215744448).

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

80764992 is a wasteful number, since it uses less digits than its factorization.

80764992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 80764992 is about 8986.9345162853. The cubic root of 80764992 is about 432.2560210808.

The spelling of 80764992 in words is "eighty million, seven hundred sixty-four thousand, nine hundred ninety-two".