779252382072 has 128 divisors (see below), whose sum is σ = 2297393280000. Its totient is φ = 243887390208.

The previous prime is 779252382061. The next prime is 779252382131. The reversal of 779252382072 is 270283252977.

779252382072 is a `hidden beast` number, since 7 + 7 + 9 + 252 + 382 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285329 + ... + 1791807.

It is an arithmetic number, because the mean of its divisors is an integer number (17948385000).

Almost surely, 2^779252382072 is an apocalyptic number.

779252382072 is a gapful number since it is divisible by the number (72) 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 779252382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148696640000).

779252382072 is an abundant number, since it is smaller than the sum of its proper divisors (1518140897928).

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

779252382072 is a wasteful number, since it uses less digits than its factorization.

779252382072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506930 (or 506920 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 779252382072 in words is "seven hundred seventy-nine billion, two hundred fifty-two million, three hundred eighty-two thousand, seventy-two".