82778234880 has 448 divisors, whose sum is σ = 295328083968. Its totient is φ = 19625410560.

The previous prime is 82778234837. The next prime is 82778234909. The reversal of 82778234880 is 8843287728.

It is a super-2 number, since 2×82778234880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82778234880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63528309 + ... + 63529611.

Almost surely, 2^82778234880 is an apocalyptic number.

82778234880 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 82778234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147664041984).

82778234880 is an abundant number, since it is smaller than the sum of its proper divisors (212549849088).

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

82778234880 is a wasteful number, since it uses less digits than its factorization.

82778234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 82778234880 in words is "eighty-two billion, seven hundred seventy-eight million, two hundred thirty-four thousand, eight hundred eighty".