76051920 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 16708608.

The previous prime is 76051903. The next prime is 76051939. The reversal of 76051920 is 2915067.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 340929 + ... + 341151.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^76051920 is an apocalyptic number.

76051920 is a gapful number since it is divisible by the number (70) 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 76051920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

76051920 is an abundant number, since it is smaller than the sum of its proper divisors (208929840).

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

76051920 is a wasteful number, since it uses less digits than its factorization.

76051920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 76051920 is about 8720.7751949010. The cubic root of 76051920 is about 423.6787943459.

Adding to 76051920 its reverse (2915067), we get a palindrome (78966987).

The spelling of 76051920 in words is "seventy-six million, fifty-one thousand, nine hundred twenty".