87774720 has 160 divisors (see below), whose sum is σ = 306408960. Its totient is φ = 21258240.

The previous prime is 87774719. The next prime is 87774749. The reversal of 87774720 is 2747778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 83961 + ... + 84999.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^87774720 is an apocalyptic number.

87774720 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 87774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

87774720 is an abundant number, since it is smaller than the sum of its proper divisors (218634240).

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

87774720 is a wasteful number, since it uses less digits than its factorization.

87774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 87774720 is about 9368.8163606722. The cubic root of 87774720 is about 444.4161344931.

The spelling of 87774720 in words is "eighty-seven million, seven hundred seventy-four thousand, seven hundred twenty".