82007943750 has 336 divisors, whose sum is σ = 236687663520. Its totient is φ = 21286800000.

The previous prime is 82007943737. The next prime is 82007943751. The reversal of 82007943750 is 5734970028.

82007943750 is a `hidden beast` number, since 8 + 200 + 7 + 9 + 437 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82007943696 and 82007943705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007943751) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 186806031 + ... + 186806469.

It is an arithmetic number, because the mean of its divisors is an integer number (704427570).

Almost surely, 2^82007943750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82007943750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118343831760).

82007943750 is an abundant number, since it is smaller than the sum of its proper divisors (154679719770).

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

82007943750 is an frugal number, since it uses more digits than its factorization.

82007943750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 82007943750 in words is "eighty-two billion, seven million, nine hundred forty-three thousand, seven hundred fifty".