80307864 has 288 divisors, whose sum is σ = 291301920. Its totient is φ = 19740672.

The previous prime is 80307863. The next prime is 80307901. The reversal of 80307864 is 46870308.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80307863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779637 + ... + 779739.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^80307864 is an apocalyptic number.

80307864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80307864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

80307864 is an abundant number, since it is smaller than the sum of its proper divisors (210994056).

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

80307864 is a wasteful number, since it uses less digits than its factorization.

80307864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80307864 is about 8961.4655051504. The cubic root of 80307864 is about 431.4389578992.

The spelling of 80307864 in words is "eighty million, three hundred seven thousand, eight hundred sixty-four".