82478088 has 384 divisors, whose sum is σ = 314496000. Its totient is φ = 19595520.

The previous prime is 82478087. The next prime is 82478089. The reversal of 82478088 is 88087428.

It is an interprime number because it is at equal distance from previous prime (82478087) and next prime (82478089).

It is not an unprimeable number, because it can be changed into a prime (82478087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2844058 + ... + 2844086.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^82478088 is an apocalyptic number.

82478088 is a gapful number since it is divisible by the number (88) 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 82478088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

82478088 is an abundant number, since it is smaller than the sum of its proper divisors (232017912).

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

82478088 is a wasteful number, since it uses less digits than its factorization.

82478088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 82478088 is about 9081.7447662880. The cubic root of 82478088 is about 435.2908399845.

The spelling of 82478088 in words is "eighty-two million, four hundred seventy-eight thousand, eighty-eight".