77000352 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 20966400.

The previous prime is 77000321. The next prime is 77000377. The reversal of 77000352 is 25300077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974649 + ... + 974727.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^77000352 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 77000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

77000352 is an abundant number, since it is smaller than the sum of its proper divisors (166855008).

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

77000352 is a wasteful number, since it uses less digits than its factorization.

77000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 77000352 is about 8774.9844444307. The cubic root of 77000352 is about 425.4327347880.

The spelling of 77000352 in words is "seventy-seven million, three hundred fifty-two", and thus it is an aban number.