8077962420 has 216 divisors, whose sum is σ = 28518831432. Its totient is φ = 1843015680.

The previous prime is 8077962407. The next prime is 8077962479. The reversal of 8077962420 is 242697708.

It can be written as a sum of positive squares in 4 ways, for example, as 2277007524 + 5800954896 = 47718^2 + 76164^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359352 + ... + 381168.

It is an arithmetic number, because the mean of its divisors is an integer number (132031627).

Almost surely, 2^8077962420 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 8077962420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259415716).

8077962420 is an abundant number, since it is smaller than the sum of its proper divisors (20440869012).

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

8077962420 is a wasteful number, since it uses less digits than its factorization.

8077962420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21871 (or 21855 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8077962420 is about 89877.4856123601. The cubic root of 8077962420 is about 2006.4758772090.

The spelling of 8077962420 in words is "eight billion, seventy-seven million, nine hundred sixty-two thousand, four hundred twenty".