77322924 has 120 divisors (see below), whose sum is σ = 233961728. Its totient is φ = 21811680.

The previous prime is 77322923. The next prime is 77322977. The reversal of 77322924 is 42922377.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77322923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233439 + ... + 233769.

Almost surely, 2^77322924 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 77322924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116980864).

77322924 is an abundant number, since it is smaller than the sum of its proper divisors (156638804).

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

77322924 is a wasteful number, since it uses less digits than its factorization.

77322924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77322924 is about 8793.3454384552. The cubic root of 77322924 is about 426.0259853223.

The spelling of 77322924 in words is "seventy-seven million, three hundred twenty-two thousand, nine hundred twenty-four".