77667038028 has 96 divisors (see below), whose sum is σ = 203602291200. Its totient is φ = 25602187968.

The previous prime is 77667038027. The next prime is 77667038047. The reversal of 77667038028 is 82083076677.

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

It is not an unprimeable number, because it can be changed into a prime (77667038023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3542163 + ... + 3564021.

It is an arithmetic number, because the mean of its divisors is an integer number (2120857200).

Almost surely, 2^77667038028 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 77667038028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101801145600).

77667038028 is an abundant number, since it is smaller than the sum of its proper divisors (125935253172).

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

77667038028 is a wasteful number, since it uses less digits than its factorization.

77667038028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22236 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77667038028 in words is "seventy-seven billion, six hundred sixty-seven million, thirty-eight thousand, twenty-eight".