78277320 has 192 divisors, whose sum is σ = 287280000. Its totient is φ = 18944640.

The previous prime is 78277289. The next prime is 78277337. The reversal of 78277320 is 2377287.

It is a super-2 number, since 2×78277320² = 12254677652764800, 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 47 ways as a sum of consecutive naturals, for example, 130381 + ... + 130979.

It is an arithmetic number, because the mean of its divisors is an integer number (1496250).

Almost surely, 2^78277320 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 78277320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640000).

78277320 is an abundant number, since it is smaller than the sum of its proper divisors (209002680).

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

78277320 is a wasteful number, since it uses less digits than its factorization.

78277320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 78277320 is about 8847.4470894151. The cubic root of 78277320 is about 427.7716340765.

The spelling of 78277320 in words is "seventy-eight million, two hundred seventy-seven thousand, three hundred twenty".