761995080 has 768 divisors, whose sum is σ = 3447360000. Its totient is φ = 149022720.

The previous prime is 761995049. The next prime is 761995093. The reversal of 761995080 is 80599167.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44823232 + ... + 44823248.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^761995080 is an apocalyptic number.

761995080 is a gapful number since it is divisible by the number (70) 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 761995080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

761995080 is an abundant number, since it is smaller than the sum of its proper divisors (2685364920).

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

761995080 is a wasteful number, since it uses less digits than its factorization.

761995080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 761995080 is about 27604.2583671433. The cubic root of 761995080 is about 913.3783693257.

The spelling of 761995080 in words is "seven hundred sixty-one million, nine hundred ninety-five thousand, eighty".