1020777516 has 144 divisors (see below), whose sum is σ = 2906711808. Its totient is φ = 299376000.

The previous prime is 1020777493. The next prime is 1020777523. The reversal of 1020777516 is 6157770201.

It is a super-2 number, since 2×1020777516² = 2083973474342260512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2571030 + ... + 2571426.

Almost surely, 2^1020777516 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 1020777516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453355904).

1020777516 is an abundant number, since it is smaller than the sum of its proper divisors (1885934292).

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

1020777516 is a wasteful number, since it uses less digits than its factorization.

1020777516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1020777516 is about 31949.6090116921. The cubic root of 1020777516 is about 1006.8784175599.

The spelling of 1020777516 in words is "one billion, twenty million, seven hundred seventy-seven thousand, five hundred sixteen".