76149216 has 216 divisors, whose sum is σ = 260461656. Its totient is φ = 20805120.

The previous prime is 76149211. The next prime is 76149223. The reversal of 76149216 is 61294167.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (18144) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76149211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1770891 + ... + 1770933.

It is an arithmetic number, because the mean of its divisors is an integer number (1205841).

Almost surely, 2^76149216 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 76149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130230828).

76149216 is an abundant number, since it is smaller than the sum of its proper divisors (184312440).

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

76149216 is a wasteful number, since it uses less digits than its factorization.

76149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76149216 is about 8726.3518150485. The cubic root of 76149216 is about 423.8593932728.

The spelling of 76149216 in words is "seventy-six million, one hundred forty-nine thousand, two hundred sixteen".