77985792 has 72 divisors (see below), whose sum is σ = 225290520. Its totient is φ = 25989120.

The previous prime is 77985781. The next prime is 77985793. The reversal of 77985792 is 29758977.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77985793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16317 + ... + 20547.

It is an arithmetic number, because the mean of its divisors is an integer number (3129035).

Almost surely, 2^77985792 is an apocalyptic number.

77985792 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 77985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112645260).

77985792 is an abundant number, since it is smaller than the sum of its proper divisors (147304728).

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

77985792 is a wasteful number, since it uses less digits than its factorization.

77985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4236 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 77985792 is about 8830.9564600897. The cubic root of 77985792 is about 427.2399238874.

The spelling of 77985792 in words is "seventy-seven million, nine hundred eighty-five thousand, seven hundred ninety-two".