828773680 has 80 divisors (see below), whose sum is σ = 2224125504. Its totient is φ = 281318400.

The previous prime is 828773677. The next prime is 828773731. The reversal of 828773680 is 86377828.

It is a tau number, because it is divible by the number of its divisors (80).

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, 49234 + ... + 63886.

Almost surely, 2^828773680 is an apocalyptic number.

828773680 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 828773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112062752).

828773680 is an abundant number, since it is smaller than the sum of its proper divisors (1395351824).

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

828773680 is a wasteful number, since it uses less digits than its factorization.

828773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 828773680 is about 28788.4296202485. The cubic root of 828773680 is about 939.3165697761.

The spelling of 828773680 in words is "eight hundred twenty-eight million, seven hundred seventy-three thousand, six hundred eighty".