87767097600 has 864 divisors, whose sum is σ = 359720976384. Its totient is φ = 18350899200.

The previous prime is 87767097577. The next prime is 87767097623. The reversal of 87767097600 is 679076778.

It is an interprime number because it is at equal distance from previous prime (87767097577) and next prime (87767097623).

It is a super-2 number, since 2×87767097600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333715069 + ... + 333715331.

Almost surely, 2^87767097600 is an apocalyptic number.

87767097600 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 87767097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179860488192).

87767097600 is an abundant number, since it is smaller than the sum of its proper divisors (271953878784).

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

87767097600 is a wasteful number, since it uses less digits than its factorization.

87767097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

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

The spelling of 87767097600 in words is "eighty-seven billion, seven hundred sixty-seven million, ninety-seven thousand, six hundred".