80762880 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 19496960.

The previous prime is 80762861. The next prime is 80762921. The reversal of 80762880 is 8826708.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 337801 + ... + 338039.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^80762880 is an apocalyptic number.

80762880 is a gapful number since it is divisible by the number (80) 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 80762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

80762880 is an abundant number, since it is smaller than the sum of its proper divisors (202283520).

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

80762880 is a wasteful number, since it uses less digits than its factorization.

80762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 80762880 is about 8986.8170116009. The cubic root of 80762880 is about 432.2522532245.

It can be divided in two parts, 807628 and 80, that added together give a palindrome (807708).

The spelling of 80762880 in words is "eighty million, seven hundred sixty-two thousand, eight hundred eighty".