87761744 has 120 divisors (see below), whose sum is σ = 214414848. Its totient is φ = 34594560.

The previous prime is 87761719. The next prime is 87761761. The reversal of 87761744 is 44716778.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87761695 and 87761704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558914 + ... + 559070.

Almost surely, 2^87761744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87761744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107207424).

87761744 is an abundant number, since it is smaller than the sum of its proper divisors (126653104).

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

87761744 is a wasteful number, since it uses less digits than its factorization.

87761744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 263424, while the sum is 44.

The square root of 87761744 is about 9368.1238249716. The cubic root of 87761744 is about 444.3942336240.

The spelling of 87761744 in words is "eighty-seven million, seven hundred sixty-one thousand, seven hundred forty-four".