87796000 has 96 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 34297600.

The previous prime is 87795997. The next prime is 87796001. The reversal of 87796000 is 69778.

It is not an unprimeable number, because it can be changed into a prime (87796001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187767 + ... + 188233.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2^87796000 is an apocalyptic number.

87796000 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 87796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388096).

87796000 is an abundant number, since it is smaller than the sum of its proper divisors (132980192).

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

87796000 is a wasteful number, since it uses less digits than its factorization.

87796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 87796000 is about 9369.9519742633. The cubic root of 87796000 is about 444.4520461663.

The spelling of 87796000 in words is "eighty-seven million, seven hundred ninety-six thousand".