76972784 has 40 divisors (see below), whose sum is σ = 171426528. Its totient is φ = 32797440.

The previous prime is 76972771. The next prime is 76972813. The reversal of 76972784 is 48727967.

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 7 ways as a sum of consecutive naturals, for example, 18374 + ... + 22170.

Almost surely, 2^76972784 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 76972784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85713264).

76972784 is an abundant number, since it is smaller than the sum of its proper divisors (94453744).

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

76972784 is a wasteful number, since it uses less digits than its factorization.

76972784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3987 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 50.

The square root of 76972784 is about 8773.4134748113. The cubic root of 76972784 is about 425.3819569699.

The spelling of 76972784 in words is "seventy-six million, nine hundred seventy-two thousand, seven hundred eighty-four".