761199120 has 400 divisors, whose sum is σ = 2949186240. Its totient is φ = 180403200.

The previous prime is 761199107. The next prime is 761199121. The reversal of 761199120 is 21991167.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761199121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4205430 + ... + 4205610.

Almost surely, 2^761199120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

761199120 is an abundant number, since it is smaller than the sum of its proper divisors (2187987120).

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

761199120 is a wasteful number, since it uses less digits than its factorization.

761199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 761199120 is about 27589.8372593968. The cubic root of 761199120 is about 913.0602281932.

The spelling of 761199120 in words is "seven hundred sixty-one million, one hundred ninety-nine thousand, one hundred twenty".