80367840 has 432 divisors, whose sum is σ = 342839952. Its totient is φ = 17031168.

The previous prime is 80367839. The next prime is 80367851. The reversal of 80367840 is 4876308.

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

It is a junction number, because it is equal to n+sod(n) for n = 80367795 and 80367804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199487 + ... + 1199553.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 2^80367840 is an apocalyptic number.

80367840 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 80367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171419976).

80367840 is an abundant number, since it is smaller than the sum of its proper divisors (262472112).

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

80367840 is a wasteful number, since it uses less digits than its factorization.

80367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

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

The square root of 80367840 is about 8964.8112082743. The cubic root of 80367840 is about 431.5463344487.

It can be divided in two parts, 8036 and 7840, that added together give a square (15876 = 126²).

The spelling of 80367840 in words is "eighty million, three hundred sixty-seven thousand, eight hundred forty".