82796400 has 180 divisors, whose sum is σ = 291336760. Its totient is φ = 21772800.

The previous prime is 82796383. The next prime is 82796407. The reversal of 82796400 is 469728.

82796400 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82796407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392295 + ... + 392505.

Almost surely, 2^82796400 is an apocalyptic number.

82796400 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 82796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668380).

82796400 is an abundant number, since it is smaller than the sum of its proper divisors (208540360).

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

82796400 is a wasteful number, since it uses less digits than its factorization.

82796400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82796400 is about 9099.2527165696. The cubic root of 82796400 is about 435.8501013753.

The spelling of 82796400 in words is "eighty-two million, seven hundred ninety-six thousand, four hundred".