77855960 has 128 divisors (see below), whose sum is σ = 219300480. Its totient is φ = 24219648.

The previous prime is 77855959. The next prime is 77855969. The reversal of 77855960 is 6955877.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77855969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265574 + ... + 265866.

It is an arithmetic number, because the mean of its divisors is an integer number (1713285).

Almost surely, 2^77855960 is an apocalyptic number.

77855960 is a gapful number since it is divisible by the number (70) 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 77855960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109650240).

77855960 is an abundant number, since it is smaller than the sum of its proper divisors (141444520).

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

77855960 is a wasteful number, since it uses less digits than its factorization.

77855960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 47.

The square root of 77855960 is about 8823.6024389135. The cubic root of 77855960 is about 427.0027002299.

The spelling of 77855960 in words is "seventy-seven million, eight hundred fifty-five thousand, nine hundred sixty".