1977816120 has 256 divisors, whose sum is σ = 7060193280. Its totient is φ = 433728000.

The previous prime is 1977816109. The next prime is 1977816131. The reversal of 1977816120 is 216187791.

It is an interprime number because it is at equal distance from previous prime (1977816109) and next prime (1977816131).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3931789 + ... + 3932291.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^1977816120 is an apocalyptic number.

1977816120 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 1977816120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

1977816120 is an abundant number, since it is smaller than the sum of its proper divisors (5082377160).

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

1977816120 is a wasteful number, since it uses less digits than its factorization.

1977816120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The square root of 1977816120 is about 44472.6446256572. The cubic root of 1977816120 is about 1255.2453967944.

The spelling of 1977816120 in words is "one billion, nine hundred seventy-seven million, eight hundred sixteen thousand, one hundred twenty".