77229900 has 216 divisors, whose sum is σ = 274201200. Its totient is φ = 18009600.

The previous prime is 77229899. The next prime is 77229907. The reversal of 77229900 is 992277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77229907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286966 + ... + 287234.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^77229900 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 77229900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

77229900 is an abundant number, since it is smaller than the sum of its proper divisors (196971300).

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

77229900 is a wasteful number, since it uses less digits than its factorization.

77229900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 77229900 is about 8788.0543921849. The cubic root of 77229900 is about 425.8550720385.

The spelling of 77229900 in words is "seventy-seven million, two hundred twenty-nine thousand, nine hundred".