80827968 has 168 divisors, whose sum is σ = 240962688. Its totient is φ = 23881728.

The previous prime is 80827939. The next prime is 80827993. The reversal of 80827968 is 86972808.

It is a happy number.

It is a super-2 number, since 2×80827968² = 13066320822018048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525030 + ... + 1525082.

Almost surely, 2^80827968 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 80827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120481344).

80827968 is an abundant number, since it is smaller than the sum of its proper divisors (160134720).

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

80827968 is a wasteful number, since it uses less digits than its factorization.

80827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 80827968 is about 8990.4375866806. The cubic root of 80827968 is about 432.3683415398.

The spelling of 80827968 in words is "eighty million, eight hundred twenty-seven thousand, nine hundred sixty-eight".