761185152 has 384 divisors, whose sum is σ = 2766778560. Its totient is φ = 195526656.

The previous prime is 761185147. The next prime is 761185181. The reversal of 761185152 is 251581167.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 5556028 + ... + 5556164.

Almost surely, 2^761185152 is an apocalyptic number.

761185152 is a gapful number since it is divisible by the number (72) 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 761185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383389280).

761185152 is an abundant number, since it is smaller than the sum of its proper divisors (2005593408).

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

761185152 is a wasteful number, since it uses less digits than its factorization.

761185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 761185152 is about 27589.5841215485. The cubic root of 761185152 is about 913.0546432755.

The spelling of 761185152 in words is "seven hundred sixty-one million, one hundred eighty-five thousand, one hundred fifty-two".