82203750720 has 672 divisors, whose sum is σ = 360915679488. Its totient is φ = 17342595072.

The previous prime is 82203750709. The next prime is 82203750757. The reversal of 82203750720 is 2705730228.

It is a happy number.

82203750720 is a `hidden beast` number, since 82 + 20 + 37 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7070352 + ... + 7081968.

It is an arithmetic number, because the mean of its divisors is an integer number (537076904).

Almost surely, 2^82203750720 is an apocalyptic number.

82203750720 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 82203750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457839744).

82203750720 is an abundant number, since it is smaller than the sum of its proper divisors (278711928768).

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

82203750720 is a wasteful number, since it uses less digits than its factorization.

82203750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 82203750720 in words is "eighty-two billion, two hundred three million, seven hundred fifty thousand, seven hundred twenty".