77227449600 has 1296 divisors, whose sum is σ = 320376494592. Its totient is φ = 16293150720.

The previous prime is 77227449539. The next prime is 77227449631. The reversal of 77227449600 is 694472277.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77227449600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 930451159 + ... + 930451241.

Almost surely, 2^77227449600 is an apocalyptic number.

77227449600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77227449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160188247296).

77227449600 is an abundant number, since it is smaller than the sum of its proper divisors (243149044992).

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

77227449600 is a wasteful number, since it uses less digits than its factorization.

77227449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 77227449600 in words is "seventy-seven billion, two hundred twenty-seven million, four hundred forty-nine thousand, six hundred".