83782656000 has 336 divisors, whose sum is σ = 302079190608. Its totient is φ = 22339584000.

The previous prime is 83782655977. The next prime is 83782656011. The reversal of 83782656000 is 65628738.

83782656000 is a `hidden beast` number, since 8 + 3 + 7 + 82 + 6 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9211455 + ... + 9220545.

Almost surely, 2^83782656000 is an apocalyptic number.

83782656000 is a gapful number since it is divisible by the number (80) 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 83782656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151039595304).

83782656000 is an abundant number, since it is smaller than the sum of its proper divisors (218296534608).

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

83782656000 is an equidigital number, since it uses as much as digits as its factorization.

83782656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 83782656000 in words is "eighty-three billion, seven hundred eighty-two million, six hundred fifty-six thousand".