87770697600 has 192 divisors, whose sum is σ = 304310880000. Its totient is φ = 22173603840.

The previous prime is 87770697583. The next prime is 87770697653. The reversal of 87770697600 is 679607778.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 23 ways as a sum of consecutive naturals, for example, 58200 + ... + 422999.

It is an arithmetic number, because the mean of its divisors is an integer number (1584952500).

Almost surely, 2^87770697600 is an apocalyptic number.

87770697600 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 87770697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152155440000).

87770697600 is an abundant number, since it is smaller than the sum of its proper divisors (216540182400).

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

87770697600 is a wasteful number, since it uses less digits than its factorization.

87770697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481245 (or 481228 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 57.

The spelling of 87770697600 in words is "eighty-seven billion, seven hundred seventy million, six hundred ninety-seven thousand, six hundred".