77876136 has 192 divisors, whose sum is σ = 248976000. Its totient is φ = 21772800.

The previous prime is 77876131. The next prime is 77876147. The reversal of 77876136 is 63167877.

It is a happy number.

Its product of digits (296352) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 77876091 and 77876100.

It is not an unprimeable number, because it can be changed into a prime (77876131) 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 47 ways as a sum of consecutive naturals, for example, 515661 + ... + 515811.

It is an arithmetic number, because the mean of its divisors is an integer number (1296750).

Almost surely, 2^77876136 is an apocalyptic number.

77876136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77876136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

77876136 is an abundant number, since it is smaller than the sum of its proper divisors (171099864).

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

77876136 is a wasteful number, since it uses less digits than its factorization.

77876136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77876136 is about 8824.7456620573. The cubic root of 77876136 is about 427.0395822806.

The spelling of 77876136 in words is "seventy-seven million, eight hundred seventy-six thousand, one hundred thirty-six".