76338990 has 192 divisors, whose sum is σ = 252979200. Its totient is φ = 16039296.

The previous prime is 76338973. The next prime is 76339009. The reversal of 76338990 is 9983367.

It is a happy number.

76338990 is a `hidden beast` number, since 7 + 633 + 8 + 9 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319291 + ... + 319529.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 2^76338990 is an apocalyptic number.

76338990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76338990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489600).

76338990 is an abundant number, since it is smaller than the sum of its proper divisors (176640210).

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

76338990 is a wasteful number, since it uses less digits than its factorization.

76338990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 76338990 is about 8737.2186649986. The cubic root of 76338990 is about 424.2112058882.

The spelling of 76338990 in words is "seventy-six million, three hundred thirty-eight thousand, nine hundred ninety".