76819104 has 168 divisors, whose sum is σ = 235497780. Its totient is φ = 24634368.

The previous prime is 76819091. The next prime is 76819123. The reversal of 76819104 is 40191867.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 291600 = 8748^2 + 540^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 863092 + ... + 863180.

Almost surely, 2^76819104 is an apocalyptic number.

76819104 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 76819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117748890).

76819104 is an abundant number, since it is smaller than the sum of its proper divisors (158678676).

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

76819104 is an equidigital number, since it uses as much as digits as its factorization.

76819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 76819104 is about 8764.6508201981. The cubic root of 76819104 is about 425.0986695936.

The spelling of 76819104 in words is "seventy-six million, eight hundred nineteen thousand, one hundred four".