76787460 has 96 divisors (see below), whose sum is σ = 243492480. Its totient is φ = 20082816.

The previous prime is 76787449. The next prime is 76787461. The reversal of 76787460 is 6478767.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76787461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27279 + ... + 29961.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2^76787460 is an apocalyptic number.

76787460 is the 7155-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76787460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121746240).

76787460 is an abundant number, since it is smaller than the sum of its proper divisors (166705020).

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

76787460 is a wasteful number, since it uses less digits than its factorization.

76787460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 76787460 is about 8762.8454282841. The cubic root of 76787460 is about 425.0402914512.

The spelling of 76787460 in words is "seventy-six million, seven hundred eighty-seven thousand, four hundred sixty".