777006677020 has 192 divisors, whose sum is σ = 1956542273280. Its totient is φ = 253635452928.

The previous prime is 777006677009. The next prime is 777006677071. The reversal of 777006677020 is 20776600777.

It is a super-2 number, since 2×777006677020² (a number of 25 digits) contains 22 as substring.

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, 108988816 + ... + 108995944.

It is an arithmetic number, because the mean of its divisors is an integer number (10190324340).

Almost surely, 2^777006677020 is an apocalyptic number.

777006677020 is a gapful number since it is divisible by the number (70) 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 777006677020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978271136640).

777006677020 is an abundant number, since it is smaller than the sum of its proper divisors (1179535596260).

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

777006677020 is a wasteful number, since it uses less digits than its factorization.

777006677020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 1210104, while the sum is 49.

The spelling of 777006677020 in words is "seven hundred seventy-seven billion, six million, six hundred seventy-seven thousand, twenty".