80864784 has 480 divisors, whose sum is σ = 332478720. Its totient is φ = 18247680.

The previous prime is 80864761. The next prime is 80864809. The reversal of 80864784 is 48746808.

It is a super-2 number, since 2×80864784² = 13078226582733312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756744 + ... + 4756760.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^80864784 is an apocalyptic number.

80864784 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 80864784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

80864784 is an abundant number, since it is smaller than the sum of its proper divisors (251613936).

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

80864784 is a wasteful number, since it uses less digits than its factorization.

80864784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 80864784 is about 8992.4848623726. The cubic root of 80864784 is about 432.4339774703.

The spelling of 80864784 in words is "eighty million, eight hundred sixty-four thousand, seven hundred eighty-four".