82400768 has 40 divisors (see below), whose sum is σ = 174343752. Its totient is φ = 38772736.

The previous prime is 82400767. The next prime is 82400783. The reversal of 82400768 is 86700428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82400761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3971 + ... + 13437.

Almost surely, 2^82400768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87171876).

82400768 is an abundant number, since it is smaller than the sum of its proper divisors (91942984).

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

82400768 is an equidigital number, since it uses as much as digits as its factorization.

82400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 82400768 is about 9077.4868768839. The cubic root of 82400768 is about 435.1547747122.

The spelling of 82400768 in words is "eighty-two million, four hundred thousand, seven hundred sixty-eight".