7677570420 has 288 divisors, whose sum is σ = 26228337408. Its totient is φ = 1873953792.

The previous prime is 7677570389. The next prime is 7677570421. The reversal of 7677570420 is 240757767.

7677570420 is a `hidden beast` number, since 7 + 6 + 77 + 570 + 4 + 2 + 0 = 666.

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 (7677570421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8655217 + ... + 8656103.

It is an arithmetic number, because the mean of its divisors is an integer number (91070616).

Almost surely, 2^7677570420 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 7677570420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114168704).

7677570420 is an abundant number, since it is smaller than the sum of its proper divisors (18550766988).

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

7677570420 is a wasteful number, since it uses less digits than its factorization.

7677570420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 7677570420 is about 87621.7462733995. The cubic root of 7677570420 is about 1972.7615868433.

The spelling of 7677570420 in words is "seven billion, six hundred seventy-seven million, five hundred seventy thousand, four hundred twenty".