1087768764 has 120 divisors (see below), whose sum is σ = 2933736960. Its totient is φ = 351249696.

The previous prime is 1087768763. The next prime is 1087768771. The reversal of 1087768764 is 4678677801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1087768764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087768763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2270677 + ... + 2271155.

It is an arithmetic number, because the mean of its divisors is an integer number (24447808).

Almost surely, 2^1087768764 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 1087768764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466868480).

1087768764 is an abundant number, since it is smaller than the sum of its proper divisors (1845968196).

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

1087768764 is a wasteful number, since it uses less digits than its factorization.

1087768764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 1087768764 is about 32981.3396331926. The cubic root of 1087768764 is about 1028.4397667784.

The spelling of 1087768764 in words is "one billion, eighty-seven million, seven hundred sixty-eight thousand, seven hundred sixty-four".