77351328 has 48 divisors (see below), whose sum is σ = 225610560. Its totient is φ = 25783488.

The previous prime is 77351317. The next prime is 77351347. The reversal of 77351328 is 82315377.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77351292 and 77351301.

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, 43900 + ... + 45627.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2^77351328 is an apocalyptic number.

It is an amenable number.

77351328 is an abundant number, since it is smaller than the sum of its proper divisors (148259232).

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

77351328 is a wasteful number, since it uses less digits than its factorization.

77351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89546 (or 89532 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 77351328 is about 8794.9603751239. The cubic root of 77351328 is about 426.0781447598.

The spelling of 77351328 in words is "seventy-seven million, three hundred fifty-one thousand, three hundred twenty-eight".