77370432 has 112 divisors (see below), whose sum is σ = 218480640. Its totient is φ = 24095232.

The previous prime is 77370431. The next prime is 77370439. The reversal of 77370432 is 23407377.

It is a junction number, because it is equal to n+sod(n) for n = 77370393 and 77370402.

It is not an unprimeable number, because it can be changed into a prime (77370431) 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, 463213 + ... + 463379.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^77370432 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 77370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240320).

77370432 is an abundant number, since it is smaller than the sum of its proper divisors (141110208).

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

77370432 is a wasteful number, since it uses less digits than its factorization.

77370432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 77370432 is about 8796.0463845980. The cubic root of 77370432 is about 426.1132190417.

The spelling of 77370432 in words is "seventy-seven million, three hundred seventy thousand, four hundred thirty-two".