1977893856 has 192 divisors, whose sum is σ = 6009292800. Its totient is φ = 632406528.

The previous prime is 1977893851. The next prime is 1977893861. The reversal of 1977893856 is 6583987791.

It is an interprime number because it is at equal distance from previous prime (1977893851) and next prime (1977893861).

It is a junction number, because it is equal to n+sod(n) for n = 1977893793 and 1977893802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977893851) 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, 2151765 + ... + 2152683.

It is an arithmetic number, because the mean of its divisors is an integer number (31298400).

Almost surely, 2^1977893856 is an apocalyptic number.

1977893856 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 1977893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004646400).

1977893856 is an abundant number, since it is smaller than the sum of its proper divisors (4031398944).

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

1977893856 is a wasteful number, since it uses less digits than its factorization.

1977893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 1977893856 is about 44473.5185925287. The cubic root of 1977893856 is about 1255.2618419494.

The spelling of 1977893856 in words is "one billion, nine hundred seventy-seven million, eight hundred ninety-three thousand, eight hundred fifty-six".