1978876416 has 160 divisors (see below), whose sum is σ = 5792897088. Its totient is φ = 595312640.

The previous prime is 1978876411. The next prime is 1978876433. The reversal of 1978876416 is 6146788791.

It is a happy number.

Its product of digits (4064256) is a multiple of the sum of its prime factors (882).

It is not an unprimeable number, because it can be changed into a prime (1978876411) 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 15 ways as a sum of consecutive naturals, for example, 2922670 + ... + 2923346.

Almost surely, 2^1978876416 is an apocalyptic number.

1978876416 is a gapful number since it is divisible by the number (16) 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 1978876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896448544).

1978876416 is an abundant number, since it is smaller than the sum of its proper divisors (3814020672).

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

1978876416 is a wasteful number, since it uses less digits than its factorization.

1978876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 57.

The square root of 1978876416 is about 44484.5637946468. The cubic root of 1978876416 is about 1255.4696667010.

The spelling of 1978876416 in words is "one billion, nine hundred seventy-eight million, eight hundred seventy-six thousand, four hundred sixteen".