7759879680 has 640 divisors, whose sum is σ = 30546616320. Its totient is φ = 1641185280.

The previous prime is 7759879663. The next prime is 7759879733. The reversal of 7759879680 is 869789577.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×7759879680³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72522187 + ... + 72522293.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 2^7759879680 is an apocalyptic number.

7759879680 is a gapful number since it is divisible by the number (70) 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 7759879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

7759879680 is an abundant number, since it is smaller than the sum of its proper divisors (22786736640).

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

7759879680 is a wasteful number, since it uses less digits than its factorization.

7759879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 66.

The square root of 7759879680 is about 88090.1792483135. The cubic root of 7759879680 is about 1979.7863660946.

The spelling of 7759879680 in words is "seven billion, seven hundred fifty-nine million, eight hundred seventy-nine thousand, six hundred eighty".