76408780 has 48 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 25824960.

The previous prime is 76408777. The next prime is 76408781. The reversal of 76408780 is 8780467.

It is a super-2 number, since 2×76408780² = 11676603322176800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76408781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6097 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 2^76408780 is an apocalyptic number.

76408780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76408780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

76408780 is an abundant number, since it is smaller than the sum of its proper divisors (109579316).

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

76408780 is a wasteful number, since it uses less digits than its factorization.

76408780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 76408780 is about 8741.2115865022. The cubic root of 76408780 is about 424.3404394672.

The spelling of 76408780 in words is "seventy-six million, four hundred eight thousand, seven hundred eighty".