77667120 has 160 divisors (see below), whose sum is σ = 274357440. Its totient is φ = 20183040.

The previous prime is 77667119. The next prime is 77667131. The reversal of 77667120 is 2176677.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88122 + ... + 88998.

It is an arithmetic number, because the mean of its divisors is an integer number (1714734).

Almost surely, 2^77667120 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 77667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137178720).

77667120 is an abundant number, since it is smaller than the sum of its proper divisors (196690320).

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

77667120 is a wasteful number, since it uses less digits than its factorization.

77667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77667120 is about 8812.8950975261. The cubic root of 77667120 is about 426.6571883745.

It can be divided in two parts, 776 and 67120, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 77667120 in words is "seventy-seven million, six hundred sixty-seven thousand, one hundred twenty".