87078335760 has 120 divisors (see below), whose sum is σ = 314933348184. Its totient is φ = 21434664960.

The previous prime is 87078335723. The next prime is 87078335783. The reversal of 87078335760 is 6753387078.

It can be written as a sum of positive squares in 4 ways, for example, as 27373824 + 87050961936 = 5232^2 + 295044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 87078335697 and 87078335706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4642261 + ... + 4660980.

Almost surely, 2^87078335760 is an apocalyptic number.

87078335760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87078335760 is an abundant number, since it is smaller than the sum of its proper divisors (227855012424).

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

87078335760 is a wasteful number, since it uses less digits than its factorization.

87078335760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303273 (or 9303264 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 87078335760 in words is "eighty-seven billion, seventy-eight million, three hundred thirty-five thousand, seven hundred sixty".