76793080 has 192 divisors, whose sum is σ = 228997440. Its totient is φ = 22560768.

The previous prime is 76793069. The next prime is 76793081. The reversal of 76793080 is 8039767.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76793081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1051924 + ... + 1051996.

It is an arithmetic number, because the mean of its divisors is an integer number (1192695).

Almost surely, 2^76793080 is an apocalyptic number.

76793080 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 76793080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114498720).

76793080 is an abundant number, since it is smaller than the sum of its proper divisors (152204360).

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

76793080 is a wasteful number, since it uses less digits than its factorization.

76793080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 76793080 is about 8763.1660945117. The cubic root of 76793080 is about 425.0506606276.

The spelling of 76793080 in words is "seventy-six million, seven hundred ninety-three thousand, eighty".