861120080 has 40 divisors (see below), whose sum is σ = 2003685000. Its totient is φ = 344176128.

The previous prime is 861120053. The next prime is 861120101. The reversal of 861120080 is 80021168.

It can be written as a sum of positive squares in 4 ways, for example, as 163737616 + 697382464 = 12796^2 + 26408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120446 + ... + 127394.

It is an arithmetic number, because the mean of its divisors is an integer number (50092125).

Almost surely, 2^861120080 is an apocalyptic number.

861120080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861120080 is an abundant number, since it is smaller than the sum of its proper divisors (1142564920).

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

861120080 is a wasteful number, since it uses less digits than its factorization.

861120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 861120080 is about 29344.8475886313. The cubic root of 861120080 is about 951.3812152398.

The spelling of 861120080 in words is "eight hundred sixty-one million, one hundred twenty thousand, eighty".