83034428400 has 1200 divisors, whose sum is σ = 376951373568. Its totient is φ = 17003520000.

The previous prime is 83034428383. The next prime is 83034428429. The reversal of 83034428400 is 482443038.

83034428400 is a `hidden beast` number, since 8 + 30 + 344 + 284 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-6 number, since 6×83034428400⁶ (a number of 67 digits) contains 666666 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 207068200 + ... + 207068600.

Almost surely, 2^83034428400 is an apocalyptic number.

83034428400 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 83034428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188475686784).

83034428400 is an abundant number, since it is smaller than the sum of its proper divisors (293916945168).

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

83034428400 is a wasteful number, since it uses less digits than its factorization.

83034428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 83034428400 in words is "eighty-three billion, thirty-four million, four hundred twenty-eight thousand, four hundred".