1020764677 has 8 divisors (see below), whose sum is σ = 1084268376. Its totient is φ = 957645312.

The previous prime is 1020764653. The next prime is 1020764687. The reversal of 1020764677 is 7764670201.

1020764677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 189365121 + 831399556 = 13761^2 + 28834^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020764677 - 2¹¹ = 1020762629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020764687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90598 + ... + 101239.

It is an arithmetic number, because the mean of its divisors is an integer number (135533547).

Almost surely, 2^1020764677 is an apocalyptic number.

1020764677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1020764677 is a deficient number, since it is larger than the sum of its proper divisors (63503699).

1020764677 is a wasteful number, since it uses less digits than its factorization.

1020764677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192167.

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 1020764677 is about 31949.4080852838. The cubic root of 1020764677 is about 1006.8741961482.

The spelling of 1020764677 in words is "one billion, twenty million, seven hundred sixty-four thousand, six hundred seventy-seven".