76462464 has 192 divisors, whose sum is σ = 236733840. Its totient is φ = 21725184.

The previous prime is 76462459. The next prime is 76462469. The reversal of 76462464 is 46426467.

It is an interprime number because it is at equal distance from previous prime (76462459) and next prime (76462469).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76462469) by changing a digit.

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, 1442662 + ... + 1442714.

Almost surely, 2^76462464 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 76462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118366920).

76462464 is an abundant number, since it is smaller than the sum of its proper divisors (160271376).

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

76462464 is a wasteful number, since it uses less digits than its factorization.

76462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 76462464 is about 8744.2817886891. The cubic root of 76462464 is about 424.4397952357.

The spelling of 76462464 in words is "seventy-six million, four hundred sixty-two thousand, four hundred sixty-four".