77322700 has 144 divisors (see below), whose sum is σ = 214361280. Its totient is φ = 23546880.

The previous prime is 77322691. The next prime is 77322701. The reversal of 77322700 is 722377.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (77322701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263754 + ... + 264046.

It is an arithmetic number, because the mean of its divisors is an integer number (1488620).

Almost surely, 2^77322700 is an apocalyptic number.

77322700 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 77322700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180640).

77322700 is an abundant number, since it is smaller than the sum of its proper divisors (137038580).

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

77322700 is a wasteful number, since it uses less digits than its factorization.

77322700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 77322700 is about 8793.3327015415. The cubic root of 77322700 is about 426.0255739311.

The spelling of 77322700 in words is "seventy-seven million, three hundred twenty-two thousand, seven hundred".