2077791140880 has 800 divisors, whose sum is σ = 8892930816000. Its totient is φ = 437842796544.

The previous prime is 2077791140837. The next prime is 2077791140897. The reversal of 2077791140880 is 880411977702.

2077791140880 is a `hidden beast` number, since 2 + 0 + 7 + 77 + 91 + 1 + 408 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 618572641 + ... + 618575999.

It is an arithmetic number, because the mean of its divisors is an integer number (11116163520).

Almost surely, 2^{2077791140880} is an apocalyptic number.

2077791140880 is a gapful number since it is divisible by the number (20) 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 2077791140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446465408000).

2077791140880 is an abundant number, since it is smaller than the sum of its proper divisors (6815139675120).

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

2077791140880 is a wasteful number, since it uses less digits than its factorization.

2077791140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

It can be divided in two parts, 2077791 and 140880, that added together give a triangular number (2218671 = T₂₁₀₆).

The spelling of 2077791140880 in words is "two trillion, seventy-seven billion, seven hundred ninety-one million, one hundred forty thousand, eight hundred eighty".