77285376 has 144 divisors (see below), whose sum is σ = 255528000. Its totient is φ = 22044672.

The previous prime is 77285357. The next prime is 77285381. The reversal of 77285376 is 67358277.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×77285376² = 11946058686922752, which contains 22 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128725 + ... + 129323.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^77285376 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 77285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764000).

77285376 is an abundant number, since it is smaller than the sum of its proper divisors (178242624).

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

77285376 is a wasteful number, since it uses less digits than its factorization.

77285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77285376 is about 8791.2101556043. The cubic root of 77285376 is about 425.9570147727.

The spelling of 77285376 in words is "seventy-seven million, two hundred eighty-five thousand, three hundred seventy-six".