77997600 has 288 divisors, whose sum is σ = 296231040. Its totient is φ = 19768320.

The previous prime is 77997583. The next prime is 77997631. The reversal of 77997600 is 679977.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496722 + ... + 496878.

It is an arithmetic number, because the mean of its divisors is an integer number (1028580).

Almost surely, 2^77997600 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 77997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

77997600 is an abundant number, since it is smaller than the sum of its proper divisors (218233440).

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

77997600 is a wasteful number, since it uses less digits than its factorization.

77997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 77997600 is about 8831.6249920386. The cubic root of 77997600 is about 427.2614859108.

The spelling of 77997600 in words is "seventy-seven million, nine hundred ninety-seven thousand, six hundred".