7677142000 has 160 divisors (see below), whose sum is σ = 20393837568. Its totient is φ = 2772000000.

The previous prime is 7677141961. The next prime is 7677142049. The reversal of 7677142000 is 2417767.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3320845 + ... + 3323155.

Almost surely, 2^7677142000 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 7677142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196918784).

7677142000 is an abundant number, since it is smaller than the sum of its proper divisors (12716695568).

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

7677142000 is a wasteful number, since it uses less digits than its factorization.

7677142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 7677142000 is about 87619.3015265472. The cubic root of 7677142000 is about 1972.7248918042.

Adding to 7677142000 its reverse (2417767), we get a palindrome (7679559767).

The spelling of 7677142000 in words is "seven billion, six hundred seventy-seven million, one hundred forty-two thousand".