7660839420 has 288 divisors, whose sum is σ = 25704387072. Its totient is φ = 1835218944.

The previous prime is 7660839413. The next prime is 7660839427. The reversal of 7660839420 is 249380667.

7660839420 is a `hidden beast` number, since 7 + 6 + 608 + 39 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7660839413) and next prime (7660839427).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7660839427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27656322 + ... + 27656598.

It is an arithmetic number, because the mean of its divisors is an integer number (89251344).

Almost surely, 2^7660839420 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 7660839420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852193536).

7660839420 is an abundant number, since it is smaller than the sum of its proper divisors (18043547652).

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

7660839420 is a wasteful number, since it uses less digits than its factorization.

7660839420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7660839420 is about 87526.2213282397. The cubic root of 7660839420 is about 1971.3275273173.

The spelling of 7660839420 in words is "seven billion, six hundred sixty million, eight hundred thirty-nine thousand, four hundred twenty".