77922432 has 128 divisors (see below), whose sum is σ = 262915200. Its totient is φ = 22256640.

The previous prime is 77922431. The next prime is 77922457. The reversal of 77922432 is 23422977.

It is a tau number, because it is divible by the number of its divisors (128).

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 (77922431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22582 + ... + 25802.

It is an arithmetic number, because the mean of its divisors is an integer number (2054025).

Almost surely, 2^77922432 is an apocalyptic number.

77922432 is a gapful number since it is divisible by the number (72) 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 77922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131457600).

77922432 is an abundant number, since it is smaller than the sum of its proper divisors (184992768).

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

77922432 is a wasteful number, since it uses less digits than its factorization.

77922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3233 counting only the distinct ones).

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

The square root of 77922432 is about 8827.3683507600. The cubic root of 77922432 is about 427.1241880367.

The spelling of 77922432 in words is "seventy-seven million, nine hundred twenty-two thousand, four hundred thirty-two".