1676768900 has 36 divisors (see below), whose sum is σ = 3679491060. Its totient is φ = 663168000.

The previous prime is 1676768887. The next prime is 1676768921. The reversal of 1676768900 is 98676761.

It can be written as a sum of positive squares in 6 ways, for example, as 541213696 + 1135555204 = 23264^2 + 33698^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85301 + ... + 103100.

It is an arithmetic number, because the mean of its divisors is an integer number (102208085).

Almost surely, 2^1676768900 is an apocalyptic number.

1676768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1676768900 is an abundant number, since it is smaller than the sum of its proper divisors (2002722160).

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

1676768900 is a wasteful number, since it uses less digits than its factorization.

1676768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188504 (or 188497 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 1676768900 is about 40948.3687098766. The cubic root of 1676768900 is about 1188.0217821474.

The spelling of 1676768900 in words is "one billion, six hundred seventy-six million, seven hundred sixty-eight thousand, nine hundred".