76954752 has 128 divisors (see below), whose sum is σ = 259651200. Its totient is φ = 21980160.

The previous prime is 76954751. The next prime is 76954753. The reversal of 76954752 is 25745967.

It is an interprime number because it is at equal distance from previous prime (76954751) and next prime (76954753).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 76954698 and 76954707.

It is not an unprimeable number, because it can be changed into a prime (76954751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22602 + ... + 25782.

It is an arithmetic number, because the mean of its divisors is an integer number (2028525).

Almost surely, 2^76954752 is an apocalyptic number.

76954752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129825600).

76954752 is an abundant number, since it is smaller than the sum of its proper divisors (182696448).

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

76954752 is a wasteful number, since it uses less digits than its factorization.

76954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3193 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 76954752 is about 8772.3857644315. The cubic root of 76954752 is about 425.3487370615.

The spelling of 76954752 in words is "seventy-six million, nine hundred fifty-four thousand, seven hundred fifty-two".