87770085107761 has 9 divisors (see below), whose sum is σ = 102099971208249. Its totient is φ = 75231445309524.

The previous prime is 87770085107701. The next prime is 87770085107827. The reversal of 87770085107761 is 16770158007778.

The square root of 87770085107761 is 9368569.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 87770085107761 - 2¹⁷ = 87770084976689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87770085107693 and 87770085107702.

It is not an unprimeable number, because it can be changed into a prime (87770085107701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64910800 + ... + 66249166.

It is an arithmetic number, because the mean of its divisors is an integer number (11344441245361).

Almost surely, 2^{87770085107761} is an apocalyptic number.

87770085107761 is the 9368569-th square number.

87770085107761 is the 4684285-th centered octagonal number.

It is an amenable number.

87770085107761 is a deficient number, since it is larger than the sum of its proper divisors (14329886100488).

87770085107761 is an frugal number, since it uses more digits than its factorization.

87770085107761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676748 (or 1338374 counting only the distinct ones).

The product of its (nonzero) digits is 32269440, while the sum is 64.

The spelling of 87770085107761 in words is "eighty-seven trillion, seven hundred seventy billion, eighty-five million, one hundred seven thousand, seven hundred sixty-one".