779973828480 has 3072 divisors, whose sum is σ = 3801038192640. Its totient is φ = 142442496000.

The previous prime is 779973828461. The next prime is 779973828553. The reversal of 779973828480 is 84828379977.

779973828480 is a `hidden beast` number, since 7 + 7 + 9 + 97 + 38 + 28 + 480 = 666.

It is a super-3 number, since 3×779973828480³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 779973828399 and 779973828408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10985546845 + ... + 10985546915.

It is an arithmetic number, because the mean of its divisors is an integer number (1237317120).

Almost surely, 2^779973828480 is an apocalyptic number.

779973828480 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 779973828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900519096320).

779973828480 is an abundant number, since it is smaller than the sum of its proper divisors (3021064364160).

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

779973828480 is a wasteful number, since it uses less digits than its factorization.

779973828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 779973828480 in words is "seven hundred seventy-nine billion, nine hundred seventy-three million, eight hundred twenty-eight thousand, four hundred eighty".