763879116 has 192 divisors, whose sum is σ = 2519838720. Its totient is φ = 173456640.

The previous prime is 763879073. The next prime is 763879121. The reversal of 763879116 is 611978367.

It is a happy number.

It is a super-2 number, since 2×763879116² = 1167022607721882912, which contains 22 as substring.

Its product of digits (381024) is a multiple of the sum of its prime divisors (3402).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226555 + ... + 229901.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^763879116 is an apocalyptic number.

763879116 is a gapful number since it is divisible by the number (76) 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 763879116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

763879116 is an abundant number, since it is smaller than the sum of its proper divisors (1755959604).

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

763879116 is a wasteful number, since it uses less digits than its factorization.

763879116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 763879116 is about 27638.3631208507. The cubic root of 763879116 is about 914.1305270321.

The spelling of 763879116 in words is "seven hundred sixty-three million, eight hundred seventy-nine thousand, one hundred sixteen".