77513112 has 56 divisors (see below), whose sum is σ = 217922340. Its totient is φ = 25835760.

The previous prime is 77513101. The next prime is 77513129. The reversal of 77513112 is 21131577.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 814 + ... + 12477.

Almost surely, 2^77513112 is an apocalyptic number.

77513112 is a gapful number since it is divisible by the number (72) 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 77513112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108961170).

77513112 is an abundant number, since it is smaller than the sum of its proper divisors (140409228).

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

77513112 is a wasteful number, since it uses less digits than its factorization.

77513112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13296 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 77513112 is about 8804.1531108903. The cubic root of 77513112 is about 426.3749921680.

Adding to 77513112 its reverse (21131577), we get a palindrome (98644689).

The spelling of 77513112 in words is "seventy-seven million, five hundred thirteen thousand, one hundred twelve".