87870582392761 has 81 divisors (see below), whose sum is σ = 107769332756007. Its totient is φ = 71433853706880.

The previous prime is 87870582392729. The next prime is 87870582392771. The reversal of 87870582392761 is 16729328507878.

The square root of 87870582392761 is 9373931.

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

It can be written as a sum of positive squares in 13 ways, for example, as 78931941453225 + 8938640939536 = 8884365^2 + 2989756^2 .

It is not a de Polignac number, because 87870582392761 - 2⁵ = 87870582392729 is a prime.

It is a super-4 number, since 4×87870582392761⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87870582392771) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116077387195 + ... + 116077387951.

Almost surely, 2^{87870582392761} is an apocalyptic number.

87870582392761 is the 9373931-st square number.

87870582392761 is the 4686966-th centered octagonal number.

It is an amenable number.

87870582392761 is a deficient number, since it is larger than the sum of its proper divisors (19898750363246).

87870582392761 is an frugal number, since it uses more digits than its factorization.

87870582392761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 73.

The spelling of 87870582392761 in words is "eighty-seven trillion, eight hundred seventy billion, five hundred eighty-two million, three hundred ninety-two thousand, seven hundred sixty-one".