77690130 has 64 divisors (see below), whose sum is σ = 220458240. Its totient is φ = 17144064.

The previous prime is 77690083. The next prime is 77690131. The reversal of 77690130 is 3109677.

It is a junction number, because it is equal to n+sod(n) for n = 77690091 and 77690100.

It is not an unprimeable number, because it can be changed into a prime (77690131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289 + ... + 12468.

It is an arithmetic number, because the mean of its divisors is an integer number (3444660).

Almost surely, 2^77690130 is an apocalyptic number.

77690130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77690130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110229120).

77690130 is an abundant number, since it is smaller than the sum of its proper divisors (142768110).

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

77690130 is a wasteful number, since it uses less digits than its factorization.

77690130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 77690130 is about 8814.2004742347. The cubic root of 77690130 is about 426.6993186546.

The spelling of 77690130 in words is "seventy-seven million, six hundred ninety thousand, one hundred thirty".