78205932 has 192 divisors, whose sum is σ = 247726080. Its totient is φ = 20865600.

The previous prime is 78205921. The next prime is 78205999. The reversal of 78205932 is 23950287.

It is a happy number.

It is a super-2 number, since 2×78205932² = 12232335599977248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1101457 + ... + 1101527.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 2^78205932 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 78205932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

78205932 is an abundant number, since it is smaller than the sum of its proper divisors (169520148).

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

78205932 is a wasteful number, since it uses less digits than its factorization.

78205932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78205932 is about 8843.4117850522. The cubic root of 78205932 is about 427.6415536161.

The spelling of 78205932 in words is "seventy-eight million, two hundred five thousand, nine hundred thirty-two".