77264100 has 81 divisors (see below), whose sum is σ = 243009403. Its totient is φ = 20533440.

The previous prime is 77264081. The next prime is 77264101. The reversal of 77264100 is 146277.

The square root of 77264100 is 8790.

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 12236004 + 65028096 = 3498^2 + 8064^2 .

It is a super-2 number, since 2×77264100² = 11939482297620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77264101) 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, 263554 + ... + 263846.

Almost surely, 2^77264100 is an apocalyptic number.

77264100 is the 8790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77264100

77264100 is an abundant number, since it is smaller than the sum of its proper divisors (165745303).

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

77264100 is a wasteful number, since it uses less digits than its factorization.

77264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The cubic root of 77264100 is about 425.9179237499.

The spelling of 77264100 in words is "seventy-seven million, two hundred sixty-four thousand, one hundred".