77389676100 has 405 divisors, whose sum is σ = 276730898983. Its totient is φ = 18694368000.

The previous prime is 77389676081. The next prime is 77389676101. The reversal of 77389676100 is 167698377.

The square root of 77389676100 is 278190.

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 110124036 + 77279552064 = 10494^2 + 277992^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×77389676100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77389676101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 275407960 + ... + 275408240.

Almost surely, 2^77389676100 is an apocalyptic number.

77389676100 is the 278190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77389676100

77389676100 is an abundant number, since it is smaller than the sum of its proper divisors (199341222883).

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

77389676100 is a wasteful number, since it uses less digits than its factorization.

77389676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 77389676100 in words is "seventy-seven billion, three hundred eighty-nine million, six hundred seventy-six thousand, one hundred".