80776000 has 112 divisors (see below), whose sum is σ = 209214720. Its totient is φ = 30835200.

The previous prime is 80775997. The next prime is 80776013. The reversal of 80776000 is 67708.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80776000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183781 + ... + 184219.

Almost surely, 2^80776000 is an apocalyptic number.

80776000 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 80776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607360).

80776000 is an abundant number, since it is smaller than the sum of its proper divisors (128438720).

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

80776000 is a wasteful number, since it uses less digits than its factorization.

80776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 80776000 is about 8987.5469400721. The cubic root of 80776000 is about 432.2756585417.

The spelling of 80776000 in words is "eighty million, seven hundred seventy-six thousand".