1678872825 has 120 divisors (see below), whose sum is σ = 3763723392. Its totient is φ = 722234880.

The previous prime is 1678872781. The next prime is 1678872829. The reversal of 1678872825 is 5282788761.

It is not a de Polignac number, because 1678872825 - 2⁷ = 1678872697 is a prime.

It is a super-2 number, since 2×1678872825² = 5637227925046961250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1678872829) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 237492 + ... + 244458.

Almost surely, 2^1678872825 is an apocalyptic number.

1678872825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1678872825 is an abundant number, since it is smaller than the sum of its proper divisors (2084850567).

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

1678872825 is a wasteful number, since it uses less digits than its factorization.

1678872825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 6999 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 1678872825 is about 40974.0506296363. The cubic root of 1678872825 is about 1188.5184643948.

It can be divided in two parts, 1678 and 872825, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 1678872825 in words is "one billion, six hundred seventy-eight million, eight hundred seventy-two thousand, eight hundred twenty-five".