77145516 has 36 divisors (see below), whose sum is σ = 222865552. Its totient is φ = 22041504.

The previous prime is 77145511. The next prime is 77145553. The reversal of 77145516 is 61554177.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (77145511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152815 + ... + 153318.

Almost surely, 2^77145516 is an apocalyptic number.

It is an amenable number.

77145516 is an abundant number, since it is smaller than the sum of its proper divisors (145720036).

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

77145516 is a wasteful number, since it uses less digits than its factorization.

77145516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306150 (or 306145 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 77145516 is about 8783.2520173339. The cubic root of 77145516 is about 425.6999142978.

The spelling of 77145516 in words is "seventy-seven million, one hundred forty-five thousand, five hundred sixteen".