77145354 has 192 divisors, whose sum is σ = 217945728. Its totient is φ = 19353600.

The previous prime is 77145353. The next prime is 77145359. The reversal of 77145354 is 45354177.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77145353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1794057 + ... + 1794099.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^77145354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77145354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

77145354 is an abundant number, since it is smaller than the sum of its proper divisors (140800374).

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

77145354 is a wasteful number, since it uses less digits than its factorization.

77145354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 77145354 is about 8783.2427952323. The cubic root of 77145354 is about 425.6996163179.

The spelling of 77145354 in words is "seventy-seven million, one hundred forty-five thousand, three hundred fifty-four".