6302772100 has 81 divisors (see below), whose sum is σ = 14560048783. Its totient is φ = 2367727360.

The previous prime is 6302772061. The next prime is 6302772103. The reversal of 6302772100 is 12772036.

The square root of 6302772100 is 79390.

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 147428164 + 6155343936 = 12142^2 + 78456^2 .

It is a super-2 number, since 2×6302772100² = 79449872289076820000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6302772103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13496067 + ... + 13496533.

Almost surely, 2^6302772100 is an apocalyptic number.

6302772100 is the 79390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6302772100

6302772100 is an abundant number, since it is smaller than the sum of its proper divisors (8257276683).

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

6302772100 is a wasteful number, since it uses less digits than its factorization.

6302772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The cubic root of 6302772100 is about 1847.1856013276.

The spelling of 6302772100 in words is "six billion, three hundred two million, seven hundred seventy-two thousand, one hundred".