1976807880100 has 81 divisors (see below), whose sum is σ = 4485023334883. Its totient is φ = 756220157440.

The previous prime is 1976807880071. The next prime is 1976807880119. The reversal of 1976807880100 is 10887086791.

It is a happy number.

The square root of 1976807880100 is 1405990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15620500324 + 1961187379776 = 124982^2 + 1400424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323374644 + ... + 323380756.

Almost surely, 2^{1976807880100} is an apocalyptic number.

1976807880100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1976807880100 is the 1405990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976807880100

1976807880100 is an abundant number, since it is smaller than the sum of its proper divisors (2508215454783).

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

1976807880100 is an frugal number, since it uses more digits than its factorization.

1976807880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12286 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 55.

The spelling of 1976807880100 in words is "one trillion, nine hundred seventy-six billion, eight hundred seven million, eight hundred eighty thousand, one hundred".