87777756 has 90 divisors (see below), whose sum is σ = 252338240. Its totient is φ = 26587440.

The previous prime is 87777721. The next prime is 87777757. The reversal of 87777756 is 65777778.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87777757) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38085 + ... + 40323.

Almost surely, 2^87777756 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 87777756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126169120).

87777756 is an abundant number, since it is smaller than the sum of its proper divisors (164560484).

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

87777756 is a wasteful number, since it uses less digits than its factorization.

87777756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2255 counting only the distinct ones).

The product of its digits is 4033680, while the sum is 54.

The square root of 87777756 is about 9368.9783861422. The cubic root of 87777756 is about 444.4212583367.

The spelling of 87777756 in words is "eighty-seven million, seven hundred seventy-seven thousand, seven hundred fifty-six".