77768152 has 96 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 28923840.

The previous prime is 77768143. The next prime is 77768179. The reversal of 77768152 is 25186777.

It is a junction number, because it is equal to n+sod(n) for n = 77768099 and 77768108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155599 + ... + 156097.

It is an arithmetic number, because the mean of its divisors is an integer number (1995000).

Almost surely, 2^77768152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77768152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

77768152 is an abundant number, since it is smaller than the sum of its proper divisors (113751848).

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

77768152 is a wasteful number, since it uses less digits than its factorization.

77768152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 542 counting only the distinct ones).

The product of its digits is 164640, while the sum is 43.

The square root of 77768152 is about 8818.6252896923. The cubic root of 77768152 is about 426.8421115496.

The spelling of 77768152 in words is "seventy-seven million, seven hundred sixty-eight thousand, one hundred fifty-two".