828437780 has 48 divisors (see below), whose sum is σ = 1802787840. Its totient is φ = 319401600.

The previous prime is 828437749. The next prime is 828437801. The reversal of 828437780 is 87734828.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 562445 + ... + 563915.

It is an arithmetic number, because the mean of its divisors is an integer number (37558080).

Almost surely, 2^828437780 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 828437780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901393920).

828437780 is an abundant number, since it is smaller than the sum of its proper divisors (974350060).

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

828437780 is a wasteful number, since it uses less digits than its factorization.

828437780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 828437780 is about 28782.5950880041. The cubic root of 828437780 is about 939.1896517046.

It can be divided in two parts, 8284 and 37780, that added together give a palindrome (46064).

The spelling of 828437780 in words is "eight hundred twenty-eight million, four hundred thirty-seven thousand, seven hundred eighty".