82943078400 has 1872 divisors, whose sum is σ = 390412678656. Its totient is φ = 16349921280.

The previous prime is 82943078371. The next prime is 82943078459. The reversal of 82943078400 is 487034928.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1928908779 + ... + 1928908821.

Almost surely, 2^82943078400 is an apocalyptic number.

82943078400 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 82943078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195206339328).

82943078400 is an abundant number, since it is smaller than the sum of its proper divisors (307469600256).

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

82943078400 is a wasteful number, since it uses less digits than its factorization.

82943078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82943078400 in words is "eighty-two billion, nine hundred forty-three million, seventy-eight thousand, four hundred".