1977829074 has 48 divisors (see below), whose sum is σ = 4641705432. Its totient is φ = 605032704.

The previous prime is 1977829019. The next prime is 1977829099. The reversal of 1977829074 is 4709287791.

It can be written as a sum of positive squares in 4 ways, for example, as 1976424849 + 1404225 = 44457^2 + 1185^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1977829074.

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 23 ways as a sum of consecutive naturals, for example, 16054 + ... + 64910.

Almost surely, 2^1977829074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977829074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320852716).

1977829074 is an abundant number, since it is smaller than the sum of its proper divisors (2663876358).

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

1977829074 is a wasteful number, since it uses less digits than its factorization.

1977829074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49051 (or 49048 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The square root of 1977829074 is about 44472.7902655095. The cubic root of 1977829074 is about 1255.2481372604.

The spelling of 1977829074 in words is "one billion, nine hundred seventy-seven million, eight hundred twenty-nine thousand, seventy-four".