76901760 has 288 divisors, whose sum is σ = 291189600. Its totient is φ = 18690048.

The previous prime is 76901743. The next prime is 76901767. The reversal of 76901760 is 6710967.

It is a tau number, because it is divible by the number of its divisors (288).

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 (76901767) 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 35 ways as a sum of consecutive naturals, for example, 973401 + ... + 973479.

It is an arithmetic number, because the mean of its divisors is an integer number (1011075).

Almost surely, 2^76901760 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 76901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145594800).

76901760 is an abundant number, since it is smaller than the sum of its proper divisors (214287840).

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

76901760 is a wasteful number, since it uses less digits than its factorization.

76901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 76901760 is about 8769.3648572744. The cubic root of 76901760 is about 425.2510811644.

The spelling of 76901760 in words is "seventy-six million, nine hundred one thousand, seven hundred sixty".