77828688 has 200 divisors, whose sum is σ = 269351808. Its totient is φ = 21212928.

The previous prime is 77828671. The next prime is 77828713. The reversal of 77828688 is 88682877.

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

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 39 ways as a sum of consecutive naturals, for example, 208470 + ... + 208842.

Almost surely, 2^77828688 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 77828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134675904).

77828688 is an abundant number, since it is smaller than the sum of its proper divisors (191523120).

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

77828688 is a wasteful number, since it uses less digits than its factorization.

77828688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 77828688 is about 8822.0569030130. The cubic root of 77828688 is about 426.9528364489.

The spelling of 77828688 in words is "seventy-seven million, eight hundred twenty-eight thousand, six hundred eighty-eight".