82890877440 has 480 divisors, whose sum is σ = 324507712320. Its totient is φ = 17947754496.

The previous prime is 82890877409. The next prime is 82890877481. The reversal of 82890877440 is 4477809828.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×82890877440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7144284 + ... + 7155876.

It is an arithmetic number, because the mean of its divisors is an integer number (676057734).

Almost surely, 2^82890877440 is an apocalyptic number.

82890877440 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 82890877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162253856160).

82890877440 is an abundant number, since it is smaller than the sum of its proper divisors (241616834880).

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

82890877440 is a wasteful number, since it uses less digits than its factorization.

82890877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 82890877440 in words is "eighty-two billion, eight hundred ninety million, eight hundred seventy-seven thousand, four hundred forty".