77867328 has 224 divisors, whose sum is σ = 269199360. Its totient is φ = 19261440.

The previous prime is 77867303. The next prime is 77867357. The reversal of 77867328 is 82376877.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 339918 + ... + 340146.

Almost surely, 2^77867328 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 77867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134599680).

77867328 is an abundant number, since it is smaller than the sum of its proper divisors (191332032).

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

77867328 is a wasteful number, since it uses less digits than its factorization.

77867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 77867328 is about 8824.2465967356. The cubic root of 77867328 is about 427.0234818993.

The spelling of 77867328 in words is "seventy-seven million, eight hundred sixty-seven thousand, three hundred twenty-eight".