761308416 has 576 divisors, whose sum is σ = 2825625600. Its totient is φ = 199065600.

The previous prime is 761308391. The next prime is 761308423. The reversal of 761308416 is 614803167.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 24558321 + ... + 24558351.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^761308416 is an apocalyptic number.

761308416 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 761308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412812800).

761308416 is an abundant number, since it is smaller than the sum of its proper divisors (2064317184).

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

761308416 is a wasteful number, since it uses less digits than its factorization.

761308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 761308416 is about 27591.8179176364. The cubic root of 761308416 is about 913.1039263759.

The spelling of 761308416 in words is "seven hundred sixty-one million, three hundred eight thousand, four hundred sixteen".