77501116 has 48 divisors (see below), whose sum is σ = 174569472. Its totient is φ = 29217600.

The previous prime is 77501101. The next prime is 77501119. The reversal of 77501116 is 61110577.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77501119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 13606.

It is an arithmetic number, because the mean of its divisors is an integer number (3636864).

Almost surely, 2^77501116 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 77501116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87284736).

77501116 is an abundant number, since it is smaller than the sum of its proper divisors (97068356).

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

77501116 is a wasteful number, since it uses less digits than its factorization.

77501116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 77501116 is about 8803.4718151420. The cubic root of 77501116 is about 426.3529956388.

The spelling of 77501116 in words is "seventy-seven million, five hundred one thousand, one hundred sixteen".