76577130 has 128 divisors (see below), whose sum is σ = 241090560. Its totient is φ = 16925760.

The previous prime is 76577107. The next prime is 76577131. The reversal of 76577130 is 3177567.

76577130 is a `hidden beast` number, since 76 + 577 + 13 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (76577131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57937 + ... + 59243.

It is an arithmetic number, because the mean of its divisors is an integer number (1883520).

Almost surely, 2^76577130 is an apocalyptic number.

76577130 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 76577130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120545280).

76577130 is an abundant number, since it is smaller than the sum of its proper divisors (164513430).

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

76577130 is a wasteful number, since it uses less digits than its factorization.

76577130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 76577130 is about 8750.8359600669. The cubic root of 76577130 is about 424.6518579165.

The spelling of 76577130 in words is "seventy-six million, five hundred seventy-seven thousand, one hundred thirty".