779583780990 has 512 divisors, whose sum is σ = 2550901248000. Its totient is φ = 165375737856.

The previous prime is 779583780971. The next prime is 779583781013. The reversal of 779583780990 is 99087385977.

779583780990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×779583780990⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 772629606 + ... + 772630614.

It is an arithmetic number, because the mean of its divisors is an integer number (4982229000).

Almost surely, 2^779583780990 is an apocalyptic number.

779583780990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 779583780990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275450624000).

779583780990 is an abundant number, since it is smaller than the sum of its proper divisors (1771317467010).

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

779583780990 is a wasteful number, since it uses less digits than its factorization.

779583780990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 779583780990 in words is "seven hundred seventy-nine billion, five hundred eighty-three million, seven hundred eighty thousand, nine hundred ninety".