84779884800 has 1296 divisors, whose sum is σ = 352886788800. Its totient is φ = 19243008000.

The previous prime is 84779884789. The next prime is 84779884823. The reversal of 84779884800 is 848897748.

84779884800 is a `hidden beast` number, since 8 + 4 + 7 + 79 + 88 + 480 + 0 = 666.

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, 839404750 + ... + 839404850.

Almost surely, 2^84779884800 is an apocalyptic number.

84779884800 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 84779884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176443394400).

84779884800 is an abundant number, since it is smaller than the sum of its proper divisors (268106904000).

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

84779884800 is a wasteful number, since it uses less digits than its factorization.

84779884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 84779884800 in words is "eighty-four billion, seven hundred seventy-nine million, eight hundred eighty-four thousand, eight hundred".