84877223760 has 600 divisors, whose sum is σ = 354023341056. Its totient is φ = 18772508160.

The previous prime is 84877223759. The next prime is 84877223803. The reversal of 84877223760 is 6732277848.

84877223760 is a `hidden beast` number, since 8 + 487 + 72 + 2 + 37 + 60 = 666.

It is a super-2 number, since 2×84877223760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84877223697 and 84877223706.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 9838809 + ... + 9847431.

Almost surely, 2^84877223760 is an apocalyptic number.

84877223760 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 84877223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177011670528).

84877223760 is an abundant number, since it is smaller than the sum of its proper divisors (269146117296).

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

84877223760 is a wasteful number, since it uses less digits than its factorization.

84877223760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 84877223760 in words is "eighty-four billion, eight hundred seventy-seven million, two hundred twenty-three thousand, seven hundred sixty".