87876678876480 has 3136 divisors, whose sum is σ = 373467242050560. Its totient is φ = 19492360224768.

The previous prime is 87876678876457. The next prime is 87876678876509. The reversal of 87876678876480 is 8467887667878.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 100201457802 + ... + 100201458678.

Almost surely, 2^{87876678876480} is an apocalyptic number.

87876678876480 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 87876678876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186733621025280).

87876678876480 is an abundant number, since it is smaller than the sum of its proper divisors (285590563174080).

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

87876678876480 is a wasteful number, since it uses less digits than its factorization.

87876678876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 67976036352, while the sum is 90.

The spelling of 87876678876480 in words is "eighty-seven trillion, eight hundred seventy-six billion, six hundred seventy-eight million, eight hundred seventy-six thousand, four hundred eighty".