87455760 has 80 divisors (see below), whose sum is σ = 309849216. Its totient is φ = 19989504.

The previous prime is 87455723. The next prime is 87455779. The reversal of 87455760 is 6755478.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24349 + ... + 27708.

Almost surely, 2^87455760 is an apocalyptic number.

87455760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87455760 is an abundant number, since it is smaller than the sum of its proper divisors (222393456).

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

87455760 is a wasteful number, since it uses less digits than its factorization.

87455760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52080 (or 52074 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 87455760 is about 9351.7784404893. The cubic root of 87455760 is about 443.8771675474.

The spelling of 87455760 in words is "eighty-seven million, four hundred fifty-five thousand, seven hundred sixty".