1678228761 has 32 divisors (see below), whose sum is σ = 2461592448. Its totient is φ = 1008599040.

The previous prime is 1678228759. The next prime is 1678228777.

1678228761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1678228761 - 2¹ = 1678228759 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1678228761.

It is not an unprimeable number, because it can be changed into a prime (1678228061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3672045 + ... + 3672501.

It is an arithmetic number, because the mean of its divisors is an integer number (76924764).

Almost surely, 2^1678228761 is an apocalyptic number.

1678228761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1678228761 is a deficient number, since it is larger than the sum of its proper divisors (783363687).

1678228761 is a wasteful number, since it uses less digits than its factorization.

1678228761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its digits is 451584, while the sum is 48.

The square root of 1678228761 is about 40966.1904623801. The cubic root of 1678228761 is about 1188.3664616438.

The spelling of 1678228761 in words is "one billion, six hundred seventy-eight million, two hundred twenty-eight thousand, seven hundred sixty-one".