87761446000 has 80 divisors (see below), whose sum is σ = 224690038560. Its totient is φ = 33039590400.

The previous prime is 87761445991. The next prime is 87761446009. The reversal of 87761446000 is 64416778.

It is an interprime number because it is at equal distance from previous prime (87761445991) and next prime (87761446009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87761446009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256610 + ... + 1324609.

It is an arithmetic number, because the mean of its divisors is an integer number (2808625482).

Almost surely, 2^87761446000 is an apocalyptic number.

87761446000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87761446000 is an abundant number, since it is smaller than the sum of its proper divisors (136928592560).

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

87761446000 is a wasteful number, since it uses less digits than its factorization.

87761446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581259 (or 2581243 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 87761446000 in words is "eighty-seven billion, seven hundred sixty-one million, four hundred forty-six thousand".