77972096 has 32 divisors (see below), whose sum is σ = 156125280. Its totient is φ = 38787840.

The previous prime is 77972087. The next prime is 77972123. The reversal of 77972096 is 69027977.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 77972096.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25565 + ... + 28451.

It is an arithmetic number, because the mean of its divisors is an integer number (4878915).

Almost surely, 2^77972096 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 77972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78062640).

77972096 is an abundant number, since it is smaller than the sum of its proper divisors (78153184).

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

77972096 is a wasteful number, since it uses less digits than its factorization.

77972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 47.

The square root of 77972096 is about 8830.1809720979. The cubic root of 77972096 is about 427.2149115510.

The spelling of 77972096 in words is "seventy-seven million, nine hundred seventy-two thousand, ninety-six".