780295612572 has 288 divisors, whose sum is σ = 2468889206784. Its totient is φ = 202637721600.

The previous prime is 780295612553. The next prime is 780295612631. The reversal of 780295612572 is 275216592087.

780295612572 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 9 + 5 + 61 + 2 + 572 = 666.

It is a super-2 number, since 2×780295612572² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66794572 + ... + 66806252.

It is an arithmetic number, because the mean of its divisors is an integer number (8572531968).

Almost surely, 2^780295612572 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 780295612572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234444603392).

780295612572 is an abundant number, since it is smaller than the sum of its proper divisors (1688593594212).

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

780295612572 is a wasteful number, since it uses less digits than its factorization.

780295612572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 780295612572 in words is "seven hundred eighty billion, two hundred ninety-five million, six hundred twelve thousand, five hundred seventy-two".