782972386560 has 1440 divisors, whose sum is σ = 3560705820672. Its totient is φ = 159809863680.

The previous prime is 782972386523. The next prime is 782972386583. The reversal of 782972386560 is 65683279287.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×782972386560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 292479942 + ... + 292482618.

Almost surely, 2^782972386560 is an apocalyptic number.

782972386560 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 782972386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780352910336).

782972386560 is an abundant number, since it is smaller than the sum of its proper divisors (2777733434112).

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

782972386560 is a wasteful number, since it uses less digits than its factorization.

782972386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 782972386560 in words is "seven hundred eighty-two billion, nine hundred seventy-two million, three hundred eighty-six thousand, five hundred sixty".