77717952 has 168 divisors, whose sum is σ = 244638576. Its totient is φ = 23445504.

The previous prime is 77717951. The next prime is 77717993. The reversal of 77717952 is 25971777.

It is a junction number, because it is equal to n+sod(n) for n = 77717898 and 77717907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77717951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726283 + ... + 726389.

It is an arithmetic number, because the mean of its divisors is an integer number (1456182).

Almost surely, 2^77717952 is an apocalyptic number.

77717952 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 77717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122319288).

77717952 is an abundant number, since it is smaller than the sum of its proper divisors (166920624).

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

77717952 is a wasteful number, since it uses less digits than its factorization.

77717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its digits is 216090, while the sum is 45.

The square root of 77717952 is about 8815.7785816115. The cubic root of 77717952 is about 426.7502483827.

The spelling of 77717952 in words is "seventy-seven million, seven hundred seventeen thousand, nine hundred fifty-two".