1678266760 has 64 divisors (see below), whose sum is σ = 3995930880. Its totient is φ = 633050880.

The previous prime is 1678266749. The next prime is 1678266761. The reversal of 1678266760 is 676628761.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1678266761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52474 + ... + 78166.

It is an arithmetic number, because the mean of its divisors is an integer number (62436420).

Almost surely, 2^1678266760 is an apocalyptic number.

1678266760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678266760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997965440).

1678266760 is an abundant number, since it is smaller than the sum of its proper divisors (2317664120).

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

1678266760 is a wasteful number, since it uses less digits than its factorization.

1678266760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25798 (or 25794 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 1678266760 is about 40966.6542446415. The cubic root of 1678266760 is about 1188.3754307024.

The spelling of 1678266760 in words is "one billion, six hundred seventy-eight million, two hundred sixty-six thousand, seven hundred sixty".