77485104 has 60 divisors (see below), whose sum is σ = 222726816. Its totient is φ = 25128576.

The previous prime is 77485087. The next prime is 77485123. The reversal of 77485104 is 40158477.

77485104 is a `hidden beast` number, since 77 + 485 + 104 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1944 + ... + 12599.

Almost surely, 2^77485104 is an apocalyptic number.

77485104 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111363408).

77485104 is an abundant number, since it is smaller than the sum of its proper divisors (145241712).

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

77485104 is a wasteful number, since it uses less digits than its factorization.

77485104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 77485104 is about 8802.5623542239. The cubic root of 77485104 is about 426.3236316128.

The spelling of 77485104 in words is "seventy-seven million, four hundred eighty-five thousand, one hundred four".