76405752 has 48 divisors (see below), whose sum is σ = 219108240. Its totient is φ = 23970048.

The previous prime is 76405687. The next prime is 76405757. The reversal of 76405752 is 25750467.

76405752 is a `hidden beast` number, since 7 + 640 + 5 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76405757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29988 + ... + 32435.

It is an arithmetic number, because the mean of its divisors is an integer number (4564755).

Almost surely, 2^76405752 is an apocalyptic number.

76405752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76405752 is an abundant number, since it is smaller than the sum of its proper divisors (142702488).

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

76405752 is a wasteful number, since it uses less digits than its factorization.

76405752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62452 (or 62445 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 76405752 is about 8741.0383822518. The cubic root of 76405752 is about 424.3348340040.

The spelling of 76405752 in words is "seventy-six million, four hundred five thousand, seven hundred fifty-two".