76909140 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 15379200.

The previous prime is 76909121. The next prime is 76909163. The reversal of 76909140 is 4190967.

76909140 = T₃₆₅ + T₃₆₆ + ... + T₇₉₈.

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

It is a junction number, because it is equal to n+sod(n) for n = 76909095 and 76909104.

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 95 ways as a sum of consecutive naturals, for example, 429571 + ... + 429749.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^76909140 is an apocalyptic number.

76909140 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 76909140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

76909140 is an abundant number, since it is smaller than the sum of its proper divisors (225007020).

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

76909140 is a wasteful number, since it uses less digits than its factorization.

76909140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76909140 is about 8769.7856302192. The cubic root of 76909140 is about 425.2646840286.

The spelling of 76909140 in words is "seventy-six million, nine hundred nine thousand, one hundred forty".