7768883340 has 360 divisors, whose sum is σ = 26084564352. Its totient is φ = 1933424640.

The previous prime is 7768883321. The next prime is 7768883359. The reversal of 7768883340 is 433888677.

It is an interprime number because it is at equal distance from previous prime (7768883321) and next prime (7768883359).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68751124 + ... + 68751236.

Almost surely, 2^7768883340 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 7768883340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042282176).

7768883340 is an abundant number, since it is smaller than the sum of its proper divisors (18315681012).

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

7768883340 is a wasteful number, since it uses less digits than its factorization.

7768883340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7768883340 is about 88141.2692216308. The cubic root of 7768883340 is about 1980.5517745951.

It can be divided in two parts, 77688 and 83340, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 7768883340 in words is "seven billion, seven hundred sixty-eight million, eight hundred eighty-three thousand, three hundred forty".