779635978100 has 144 divisors (see below), whose sum is σ = 1954465489536. Its totient is φ = 264409920000.

The previous prime is 779635978091. The next prime is 779635978117. The reversal of 779635978100 is 1879536977.

It is a super-2 number, since 2×779635978100² (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 47 ways as a sum of consecutive naturals, for example, 85754555 + ... + 85763645.

Almost surely, 2^779635978100 is an apocalyptic number.

779635978100 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 779635978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977232744768).

779635978100 is an abundant number, since it is smaller than the sum of its proper divisors (1174829511436).

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

779635978100 is a wasteful number, since it uses less digits than its factorization.

779635978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 62.

The spelling of 779635978100 in words is "seven hundred seventy-nine billion, six hundred thirty-five million, nine hundred seventy-eight thousand, one hundred".