1000977768 has 48 divisors (see below), whose sum is σ = 3098266080. Its totient is φ = 285993504.

The previous prime is 1000977767. The next prime is 1000977787. The reversal of 1000977768 is 8677790001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000977767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992530 + ... + 993537.

It is an arithmetic number, because the mean of its divisors is an integer number (64547210).

Almost surely, 2^1000977768 is an apocalyptic number.

1000977768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1000977768 is an abundant number, since it is smaller than the sum of its proper divisors (2097288312).

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

1000977768 is a wasteful number, since it uses less digits than its factorization.

1000977768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986086 (or 1986079 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 1000977768 is about 31638.2326940049. The cubic root of 1000977768 is about 1000.3258164987.

The spelling of 1000977768 in words is "one billion, nine hundred seventy-seven thousand, seven hundred sixty-eight".