828477840 has 40 divisors (see below), whose sum is σ = 2568282048. Its totient is φ = 220927360.

The previous prime is 828477809. The next prime is 828477869. The reversal of 828477840 is 48774828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 828477840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725756 + ... + 1726235.

Almost surely, 2^828477840 is an apocalyptic number.

828477840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828477840 is an abundant number, since it is smaller than the sum of its proper divisors (1739804208).

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

828477840 is a wasteful number, since it uses less digits than its factorization.

828477840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452007 (or 3452001 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 828477840 is about 28783.2909862649. The cubic root of 828477840 is about 939.2047899693.

The spelling of 828477840 in words is "eight hundred twenty-eight million, four hundred seventy-seven thousand, eight hundred forty".