782971171920 has 480 divisors, whose sum is σ = 3203296761600. Its totient is φ = 167304314880.

The previous prime is 782971171919. The next prime is 782971171981. The reversal of 782971171920 is 29171179287.

It is a super-2 number, since 2×782971171920² (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 95 ways as a sum of consecutive naturals, for example, 12735655 + ... + 12796985.

It is an arithmetic number, because the mean of its divisors is an integer number (6673534920).

Almost surely, 2^782971171920 is an apocalyptic number.

782971171920 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 782971171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601648380800).

782971171920 is an abundant number, since it is smaller than the sum of its proper divisors (2420325589680).

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

782971171920 is a wasteful number, since it uses less digits than its factorization.

782971171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61523 (or 61514 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 782971171920 in words is "seven hundred eighty-two billion, nine hundred seventy-one million, one hundred seventy-one thousand, nine hundred twenty".