77142208 has 56 divisors (see below), whose sum is σ = 179862480. Its totient is φ = 32363520.

The previous prime is 77142199. The next prime is 77142211. The reversal of 77142208 is 80224177.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77142208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4938 + ... + 13366.

It is an arithmetic number, because the mean of its divisors is an integer number (3211830).

Almost surely, 2^77142208 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 77142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89931240).

77142208 is an abundant number, since it is smaller than the sum of its proper divisors (102720272).

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

77142208 is a wasteful number, since it uses less digits than its factorization.

77142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 77142208 is about 8783.0637023763. The cubic root of 77142208 is about 425.6938295395.

The spelling of 77142208 in words is "seventy-seven million, one hundred forty-two thousand, two hundred eight".