876219201 has 135 divisors (see below), whose sum is σ = 1628595507. Its totient is φ = 468879840.

The previous prime is 876219199. The next prime is 876219217. The reversal of 876219201 is 102912678.

The square root of 876219201 is 29601.

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

876219201 is a `hidden beast` number, since 8 + 7 + 621 + 9 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129618225 + 746600976 = 11385^2 + 27324^2 .

It is not a de Polignac number, because 876219201 - 2¹ = 876219199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (876219251) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 38096476 + ... + 38096498.

Almost surely, 2^876219201 is an apocalyptic number.

876219201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

876219201 is the 29601-st square number.

876219201 is the 14801-st centered octagonal number.

It is an amenable number.

876219201 is a deficient number, since it is larger than the sum of its proper divisors (752376306).

876219201 is a wasteful number, since it uses less digits than its factorization.

876219201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 876219201 is about 956.9096228564.

Multiplying 876219201 by its sum of digits (36), we get a square (31543891236 = 177606²).

The spelling of 876219201 in words is "eight hundred seventy-six million, two hundred nineteen thousand, two hundred one".