77050100 has 54 divisors (see below), whose sum is σ = 174031830. Its totient is φ = 29574720.

The previous prime is 77050087. The next prime is 77050117. The reversal of 77050100 is 105077.

It can be written as a sum of positive squares in 3 ways, for example, as 5207524 + 71842576 = 2282^2 + 8476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 472619 + ... + 472781.

Almost surely, 2^77050100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87015915).

77050100 is an abundant number, since it is smaller than the sum of its proper divisors (96981730).

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

77050100 is a wasteful number, since it uses less digits than its factorization.

77050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 77050100 is about 8777.8186356292. The cubic root of 77050100 is about 425.5243355441.

Adding to 77050100 its reverse (105077), we get a palindrome (77155177).

The spelling of 77050100 in words is "seventy-seven million, fifty thousand, one hundred".