77250732 has 96 divisors (see below), whose sum is σ = 207916800. Its totient is φ = 22125312.

The previous prime is 77250707. The next prime is 77250739. The reversal of 77250732 is 23705277.

It is a junction number, because it is equal to n+sod(n) for n = 77250693 and 77250702.

It is not an unprimeable number, because it can be changed into a prime (77250739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198394 + ... + 198782.

It is an arithmetic number, because the mean of its divisors is an integer number (2165800).

Almost surely, 2^77250732 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 77250732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958400).

77250732 is an abundant number, since it is smaller than the sum of its proper divisors (130666068).

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

77250732 is a wasteful number, since it uses less digits than its factorization.

77250732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 77250732 is about 8789.2395575499. The cubic root of 77250732 is about 425.8933586577.

The spelling of 77250732 in words is "seventy-seven million, two hundred fifty thousand, seven hundred thirty-two".