77577696 has 192 divisors, whose sum is σ = 263208960. Its totient is φ = 21772800.

The previous prime is 77577677. The next prime is 77577713. The reversal of 77577696 is 69677577.

77577696 is a `hidden beast` number, since 7 + 7 + 577 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610785 + ... + 610911.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^77577696 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 77577696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

77577696 is an abundant number, since it is smaller than the sum of its proper divisors (185631264).

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

77577696 is a wasteful number, since it uses less digits than its factorization.

77577696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its digits is 3889620, while the sum is 54.

The square root of 77577696 is about 8807.8201616518. The cubic root of 77577696 is about 426.4933779798.

The spelling of 77577696 in words is "seventy-seven million, five hundred seventy-seven thousand, six hundred ninety-six".