76919120 has 40 divisors (see below), whose sum is σ = 180498120. Its totient is φ = 30481920.

The previous prime is 76919113. The next prime is 76919123. The reversal of 76919120 is 2191967.

It can be written as a sum of positive squares in 4 ways, for example, as 17073424 + 59845696 = 4132^2 + 7736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76919123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4310 + ... + 13130.

It is an arithmetic number, because the mean of its divisors is an integer number (4512453).

Almost surely, 2^76919120 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 76919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90249060).

76919120 is an abundant number, since it is smaller than the sum of its proper divisors (103579000).

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

76919120 is a wasteful number, since it uses less digits than its factorization.

76919120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 76919120 is about 8770.3546108467. The cubic root of 76919120 is about 425.2830778457.

The spelling of 76919120 in words is "seventy-six million, nine hundred nineteen thousand, one hundred twenty".