77799400 has 96 divisors (see below), whose sum is σ = 210343680. Its totient is φ = 26208000.

The previous prime is 77799377. The next prime is 77799401. The reversal of 77799400 is 499777.

It is not an unprimeable number, because it can be changed into a prime (77799401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84945 + ... + 85855.

It is an arithmetic number, because the mean of its divisors is an integer number (2191080).

Almost surely, 2^77799400 is an apocalyptic number.

77799400 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 77799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

77799400 is an abundant number, since it is smaller than the sum of its proper divisors (132544280).

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

77799400 is a wasteful number, since it uses less digits than its factorization.

77799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The square root of 77799400 is about 8820.3968164703. The cubic root of 77799400 is about 426.8992736651.

The spelling of 77799400 in words is "seventy-seven million, seven hundred ninety-nine thousand, four hundred".