80766720 has 360 divisors, whose sum is σ = 311628240. Its totient is φ = 19906560.

The previous prime is 80766683. The next prime is 80766797. The reversal of 80766720 is 2766708.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969900 + ... + 1969940.

It is an arithmetic number, because the mean of its divisors is an integer number (865634).

Almost surely, 2^80766720 is an apocalyptic number.

80766720 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 80766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155814120).

80766720 is an abundant number, since it is smaller than the sum of its proper divisors (230861520).

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

80766720 is a wasteful number, since it uses less digits than its factorization.

80766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 80766720 is about 8987.0306553388. The cubic root of 80766720 is about 432.2591038236.

The spelling of 80766720 in words is "eighty million, seven hundred sixty-six thousand, seven hundred twenty".