77700168 has 256 divisors, whose sum is σ = 274176000. Its totient is φ = 19844352.

The previous prime is 77700157. The next prime is 77700179. The reversal of 77700168 is 86100777.

It is an interprime number because it is at equal distance from previous prime (77700157) and next prime (77700179).

It is a super-2 number, since 2×77700168² = 12074632214456448, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1159671 + ... + 1159737.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^77700168 is an apocalyptic number.

77700168 is a gapful number since it is divisible by the number (78) 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 77700168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

77700168 is an abundant number, since it is smaller than the sum of its proper divisors (196475832).

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

77700168 is a wasteful number, since it uses less digits than its factorization.

77700168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 77700168 is about 8814.7698778811. The cubic root of 77700168 is about 426.7176951772.

The spelling of 77700168 in words is "seventy-seven million, seven hundred thousand, one hundred sixty-eight".