76124664 has 256 divisors, whose sum is σ = 276480000. Its totient is φ = 18817920.

The previous prime is 76124647. The next prime is 76124669. The reversal of 76124664 is 46642167.

It is a super-2 number, since 2×76124664² = 11589928938225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76124669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382437 + ... + 382635.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^76124664 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 76124664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

76124664 is an abundant number, since it is smaller than the sum of its proper divisors (200355336).

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

76124664 is a wasteful number, since it uses less digits than its factorization.

76124664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 76124664 is about 8724.9449281930. The cubic root of 76124664 is about 423.8138348503.

It can be divided in two parts, 761 and 24664, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 76124664 in words is "seventy-six million, one hundred twenty-four thousand, six hundred sixty-four".