76780704 has 384 divisors, whose sum is σ = 292626432. Its totient is φ = 16957440.

The previous prime is 76780699. The next prime is 76780709. The reversal of 76780704 is 40708767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76780699) and next prime (76780709).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76780709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633609 + ... + 1633655.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^76780704 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 76780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

76780704 is an abundant number, since it is smaller than the sum of its proper divisors (215845728).

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

76780704 is a wasteful number, since it uses less digits than its factorization.

76780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 76780704 is about 8762.4599285817. The cubic root of 76780704 is about 425.0278256291.

The spelling of 76780704 in words is "seventy-six million, seven hundred eighty thousand, seven hundred four".