761564916 has 288 divisors, whose sum is σ = 2475432960. Its totient is φ = 199874304.

The previous prime is 761564899. The next prime is 761564933. The reversal of 761564916 is 619465167.

761564916 is a `hidden beast` number, since 7 + 6 + 156 + 491 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (761564899) and next prime (761564933).

It is a super-2 number, since 2×761564916² = 1159962242564174112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5558800 + ... + 5558936.

Almost surely, 2^761564916 is an apocalyptic number.

761564916 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 761564916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237716480).

761564916 is an abundant number, since it is smaller than the sum of its proper divisors (1713868044).

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

761564916 is a wasteful number, since it uses less digits than its factorization.

761564916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 761564916 is about 27596.4656432667. The cubic root of 761564916 is about 913.2064625070.

The spelling of 761564916 in words is "seven hundred sixty-one million, five hundred sixty-four thousand, nine hundred sixteen".