828760464 has 80 divisors (see below), whose sum is σ = 2718695040. Its totient is φ = 236787840.

The previous prime is 828760451. The next prime is 828760477. The reversal of 828760464 is 464067828.

It is an interprime number because it is at equal distance from previous prime (828760451) and next prime (828760477).

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, 134007 + ... + 140054.

It is an arithmetic number, because the mean of its divisors is an integer number (33983688).

Almost surely, 2^828760464 is an apocalyptic number.

828760464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

828760464 is an abundant number, since it is smaller than the sum of its proper divisors (1889934576).

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

828760464 is a wasteful number, since it uses less digits than its factorization.

828760464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274085 (or 274073 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 828760464 is about 28788.2000826728. The cubic root of 828760464 is about 939.3115768272.

The spelling of 828760464 in words is "eight hundred twenty-eight million, seven hundred sixty thousand, four hundred sixty-four".