77667552 has 96 divisors (see below), whose sum is σ = 228080160. Its totient is φ = 25712640.

The previous prime is 77667533. The next prime is 77667553. The reversal of 77667552 is 25576677.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 77667498 and 77667507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77667553) 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, 208038 + ... + 208410.

It is an arithmetic number, because the mean of its divisors is an integer number (2375835).

Almost surely, 2^77667552 is an apocalyptic number.

77667552 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 77667552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114040080).

77667552 is an abundant number, since it is smaller than the sum of its proper divisors (150412608).

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

77667552 is a wasteful number, since it uses less digits than its factorization.

77667552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 77667552 is about 8812.9196070315. The cubic root of 77667552 is about 426.6579794238.

The spelling of 77667552 in words is "seventy-seven million, six hundred sixty-seven thousand, five hundred fifty-two".