1978736760 has 1152 divisors, whose sum is σ = 9655027200. Its totient is φ = 338411520.

The previous prime is 1978736737. The next prime is 1978736797. The reversal of 1978736760 is 676378791.

It is a junction number, because it is equal to n+sod(n) for n = 1978736697 and 1978736706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104144031 + ... + 104144049.

It is an arithmetic number, because the mean of its divisors is an integer number (8381100).

Almost surely, 2^1978736760 is an apocalyptic number.

1978736760 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 1978736760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827513600).

1978736760 is an abundant number, since it is smaller than the sum of its proper divisors (7676290440).

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

1978736760 is a wasteful number, since it uses less digits than its factorization.

1978736760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1978736760 is about 44482.9940539078. The cubic root of 1978736760 is about 1255.4401317596.

The spelling of 1978736760 in words is "one billion, nine hundred seventy-eight million, seven hundred thirty-six thousand, seven hundred sixty".