77711130 has 64 divisors (see below), whose sum is σ = 236839680. Its totient is φ = 17762112.

The previous prime is 77711129. The next prime is 77711171. The reversal of 77711130 is 3111777.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77711094 and 77711103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18669 + ... + 22448.

It is an arithmetic number, because the mean of its divisors is an integer number (3700620).

Almost surely, 2^77711130 is an apocalyptic number.

77711130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77711130 is an abundant number, since it is smaller than the sum of its proper divisors (159128550).

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

77711130 is a wasteful number, since it uses less digits than its factorization.

77711130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41140 (or 41134 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 77711130 is about 8815.3916532392. The cubic root of 77711130 is about 426.7377614548.

It can be divided in two parts, 77711 and 130, that added together give a square (77841 = 279²).

The spelling of 77711130 in words is "seventy-seven million, seven hundred eleven thousand, one hundred thirty".