76473936 has 320 divisors, whose sum is σ = 290457600. Its totient is φ = 18817920.

The previous prime is 76473893. The next prime is 76473949. The reversal of 76473936 is 63937467.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (571536) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 76473891 and 76473900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4024935 + ... + 4024953.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 2^76473936 is an apocalyptic number.

76473936 is a gapful number since it is divisible by the number (76) 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 76473936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145228800).

76473936 is an abundant number, since it is smaller than the sum of its proper divisors (213983664).

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

76473936 is a wasteful number, since it uses less digits than its factorization.

76473936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 76473936 is about 8744.9377356274. The cubic root of 76473936 is about 424.4610210311.

The spelling of 76473936 in words is "seventy-six million, four hundred seventy-three thousand, nine hundred thirty-six".