77479072 has 48 divisors (see below), whose sum is σ = 168098112. Its totient is φ = 34859520.

The previous prime is 77479069. The next prime is 77479099. The reversal of 77479072 is 27097477.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35188 + ... + 37324.

It is an arithmetic number, because the mean of its divisors is an integer number (3502044).

Almost surely, 2^77479072 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 77479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049056).

77479072 is an abundant number, since it is smaller than the sum of its proper divisors (90619040).

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

77479072 is a wasteful number, since it uses less digits than its factorization.

77479072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 43.

The square root of 77479072 is about 8802.2197200479. The cubic root of 77479072 is about 426.3125686224.

The spelling of 77479072 in words is "seventy-seven million, four hundred seventy-nine thousand, seventy-two".