80676000 has 288 divisors, whose sum is σ = 300500928. Its totient is φ = 21254400.

The previous prime is 80675983. The next prime is 80676007. The reversal of 80676000 is 67608.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80676007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971959 + ... + 972041.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 2^80676000 is an apocalyptic number.

80676000 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 80676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

80676000 is an abundant number, since it is smaller than the sum of its proper divisors (219824928).

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

80676000 is an equidigital number, since it uses as much as digits as its factorization.

80676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80676000 is about 8981.9819639097. The cubic root of 80676000 is about 432.0972003504.

The spelling of 80676000 in words is "eighty million, six hundred seventy-six thousand".