77956320 has 216 divisors, whose sum is σ = 274759128. Its totient is φ = 18570240.

The previous prime is 77956301. The next prime is 77956337. The reversal of 77956320 is 2365977.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2514705 + ... + 2514735.

It is an arithmetic number, because the mean of its divisors is an integer number (1272033).

Almost surely, 2^77956320 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 77956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137379564).

77956320 is an abundant number, since it is smaller than the sum of its proper divisors (196802808).

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

77956320 is a wasteful number, since it uses less digits than its factorization.

77956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 77956320 is about 8829.2876269833. The cubic root of 77956320 is about 427.1860969819.

The spelling of 77956320 in words is "seventy-seven million, nine hundred fifty-six thousand, three hundred twenty".