80677800 has 288 divisors, whose sum is σ = 326913600. Its totient is φ = 17418240.

The previous prime is 80677789. The next prime is 80677811. The reversal of 80677800 is 877608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80677789) and next prime (80677811).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239232 + ... + 239568.

Almost surely, 2^80677800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80677800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163456800).

80677800 is an abundant number, since it is smaller than the sum of its proper divisors (246235800).

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

80677800 is a wasteful number, since it uses less digits than its factorization.

80677800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 80677800 is about 8982.0821639529. The cubic root of 80677800 is about 432.1004139008.

It can be divided in two parts, 806 and 77800, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 80677800 in words is "eighty million, six hundred seventy-seven thousand, eight hundred".