1978105080 has 128 divisors (see below), whose sum is σ = 7016025600. Its totient is φ = 436541952.

The previous prime is 1978105079. The next prime is 1978105081. The reversal of 1978105080 is 805018791.

It is an interprime number because it is at equal distance from previous prime (1978105079) and next prime (1978105081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978105081) 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, 16242 + ... + 64961.

It is an arithmetic number, because the mean of its divisors is an integer number (54812700).

Almost surely, 2^1978105080 is an apocalyptic number.

1978105080 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 1978105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508012800).

1978105080 is an abundant number, since it is smaller than the sum of its proper divisors (5037920520).

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

1978105080 is a wasteful number, since it uses less digits than its factorization.

1978105080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81253 (or 81249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 1978105080 is about 44475.8932456674. The cubic root of 1978105080 is about 1255.3065244937.

The spelling of 1978105080 in words is "one billion, nine hundred seventy-eight million, one hundred five thousand, eighty".