82630886400 has 792 divisors, whose sum is σ = 315985400640. Its totient is φ = 21379645440.

The previous prime is 82630886389. The next prime is 82630886407. The reversal of 82630886400 is 468803628.

It is a happy number.

82630886400 is a `hidden beast` number, since 8 + 2 + 630 + 8 + 8 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82630886407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230169421 + ... + 230169779.

Almost surely, 2^82630886400 is an apocalyptic number.

82630886400 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 82630886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992700320).

82630886400 is an abundant number, since it is smaller than the sum of its proper divisors (233354514240).

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

82630886400 is a wasteful number, since it uses less digits than its factorization.

82630886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82630886400 in words is "eighty-two billion, six hundred thirty million, eight hundred eighty-six thousand, four hundred".