87879120 has 240 divisors, whose sum is σ = 332562048. Its totient is φ = 18800640.

The previous prime is 87879091. The next prime is 87879133. The reversal of 87879120 is 2197878.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485430 + ... + 485610.

Almost surely, 2^87879120 is an apocalyptic number.

87879120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024).

87879120 is an abundant number, since it is smaller than the sum of its proper divisors (244682928).

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

87879120 is a wasteful number, since it uses less digits than its factorization.

87879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 87879120 is about 9374.3863799184. The cubic root of 87879120 is about 444.5922621282.

The spelling of 87879120 in words is "eighty-seven million, eight hundred seventy-nine thousand, one hundred twenty".