82278000 has 240 divisors, whose sum is σ = 328925376. Its totient is φ = 18777600.

The previous prime is 82277989. The next prime is 82278013. The reversal of 82278000 is 87228.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 125674 + ... + 126326.

Almost surely, 2^82278000 is an apocalyptic number.

82278000 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 82278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164462688).

82278000 is an abundant number, since it is smaller than the sum of its proper divisors (246647376).

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

82278000 is a wasteful number, since it uses less digits than its factorization.

82278000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82278000 is about 9070.7221322230. The cubic root of 82278000 is about 434.9385565217.

The spelling of 82278000 in words is "eighty-two million, two hundred seventy-eight thousand".