76728384 has 210 divisors, whose sum is σ = 245902734. Its totient is φ = 23639040.

The previous prime is 76728371. The next prime is 76728397. The reversal of 76728384 is 48382767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76728371) and next prime (76728397).

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 29942784 = 6840^2 + 5472^2 .

It is a super-2 number, since 2×76728384² = 11774489822502912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1871404 + ... + 1871444.

Almost surely, 2^76728384 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 76728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122951367).

76728384 is an abundant number, since it is smaller than the sum of its proper divisors (169174350).

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

76728384 is a wasteful number, since it uses less digits than its factorization.

76728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 76728384 is about 8759.4739568081. The cubic root of 76728384 is about 424.9312627011.

The spelling of 76728384 in words is "seventy-six million, seven hundred twenty-eight thousand, three hundred eighty-four".