77782320 has 480 divisors, whose sum is σ = 345406464. Its totient is φ = 15206400.

The previous prime is 77782319. The next prime is 77782337. The reversal of 77782320 is 2328777.

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 95 ways as a sum of consecutive naturals, for example, 1275090 + ... + 1275150.

Almost surely, 2^77782320 is an apocalyptic number.

77782320 is a gapful number since it is divisible by the number (70) 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 77782320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172703232).

77782320 is an abundant number, since it is smaller than the sum of its proper divisors (267624144).

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

77782320 is a wasteful number, since it uses less digits than its factorization.

77782320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

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

The square root of 77782320 is about 8819.4285529166. The cubic root of 77782320 is about 426.8680310367.

The spelling of 77782320 in words is "seventy-seven million, seven hundred eighty-two thousand, three hundred twenty".