782234379120 has 320 divisors, whose sum is σ = 2676778675200. Its totient is φ = 188186664960.

The previous prime is 782234379109. The next prime is 782234379191. The reversal of 782234379120 is 21973432287.

It is a super-2 number, since 2×782234379120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 782234379120.

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, 9613005 + ... + 9694035.

It is an arithmetic number, because the mean of its divisors is an integer number (8364933360).

Almost surely, 2^782234379120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782234379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338389337600).

782234379120 is an abundant number, since it is smaller than the sum of its proper divisors (1894544296080).

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

782234379120 is a wasteful number, since it uses less digits than its factorization.

782234379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81168 (or 81162 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 782234379120 in words is "seven hundred eighty-two billion, two hundred thirty-four million, three hundred seventy-nine thousand, one hundred twenty".