77075232 has 96 divisors (see below), whose sum is σ = 219864960. Its totient is φ = 23500800.

The previous prime is 77075227. The next prime is 77075239. The reversal of 77075232 is 23257077.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 77075193 and 77075202.

It is not an unprimeable number, because it can be changed into a prime (77075239) 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, 188244 + ... + 188652.

It is an arithmetic number, because the mean of its divisors is an integer number (2290260).

Almost surely, 2^77075232 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 77075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109932480).

77075232 is an abundant number, since it is smaller than the sum of its proper divisors (142789728).

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

77075232 is a wasteful number, since it uses less digits than its factorization.

77075232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

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

The square root of 77075232 is about 8779.2500818692. The cubic root of 77075232 is about 425.5705959862.

The spelling of 77075232 in words is "seventy-seven million, seventy-five thousand, two hundred thirty-two".