76407760 has 80 divisors (see below), whose sum is σ = 208736640. Its totient is φ = 25643520.

The previous prime is 76407757. The next prime is 76407763. The reversal of 76407760 is 6770467.

It is an interprime number because it is at equal distance from previous prime (76407757) and next prime (76407763).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76407763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8101 + ... + 14779.

It is an arithmetic number, because the mean of its divisors is an integer number (2609208).

Almost surely, 2^76407760 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 76407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104368320).

76407760 is an abundant number, since it is smaller than the sum of its proper divisors (132328880).

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

76407760 is a wasteful number, since it uses less digits than its factorization.

76407760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 76407760 is about 8741.1532419927. The cubic root of 76407760 is about 424.3385512498.

It can be divided in two parts, 7640 and 7760, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 76407760 in words is "seventy-six million, four hundred seven thousand, seven hundred sixty".