1978808832 has 720 divisors, whose sum is σ = 7967615040. Its totient is φ = 474439680.

The previous prime is 1978808831. The next prime is 1978808861. The reversal of 1978808832 is 2388088791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1978808831) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152216058 + ... + 152216070.

It is an arithmetic number, because the mean of its divisors is an integer number (11066132).

Almost surely, 2^1978808832 is an apocalyptic number.

1978808832 is a gapful number since it is divisible by the number (12) 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 1978808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983807520).

1978808832 is an abundant number, since it is smaller than the sum of its proper divisors (5988806208).

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

1978808832 is a wasteful number, since it uses less digits than its factorization.

1978808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 1978808832 is about 44483.8041538716. The cubic root of 1978808832 is about 1255.4553739728.

The spelling of 1978808832 in words is "one billion, nine hundred seventy-eight million, eight hundred eight thousand, eight hundred thirty-two".