84580761600 has 480 divisors, whose sum is σ = 312055920000. Its totient is φ = 22460497920.

The previous prime is 84580761599. The next prime is 84580761619. The reversal of 84580761600 is 616708548.

It is a happy number.

84580761600 is a `hidden beast` number, since 8 + 4 + 580 + 7 + 6 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 23 ways as a sum of consecutive naturals, for example, 353894281 + ... + 353894519.

It is an arithmetic number, because the mean of its divisors is an integer number (650116500).

Almost surely, 2^84580761600 is an apocalyptic number.

84580761600 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 84580761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156027960000).

84580761600 is an abundant number, since it is smaller than the sum of its proper divisors (227475158400).

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

84580761600 is an frugal number, since it uses more digits than its factorization.

84580761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 84580761600 in words is "eighty-four billion, five hundred eighty million, seven hundred sixty-one thousand, six hundred".