76633740 has 72 divisors (see below), whose sum is σ = 237885648. Its totient is φ = 19958400.

The previous prime is 76633703. The next prime is 76633757. The reversal of 76633740 is 4733667.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 76633695 and 76633704.

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 23 ways as a sum of consecutive naturals, for example, 2790 + ... + 12690.

Almost surely, 2^76633740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76633740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942824).

76633740 is an abundant number, since it is smaller than the sum of its proper divisors (161251908).

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

76633740 is a wasteful number, since it uses less digits than its factorization.

76633740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 76633740 is about 8754.0699106187. The cubic root of 76633740 is about 424.7564740959.

The spelling of 76633740 in words is "seventy-six million, six hundred thirty-three thousand, seven hundred forty".