761402880 has 240 divisors, whose sum is σ = 3014298144. Its totient is φ = 173998080.

The previous prime is 761402843. The next prime is 761402881. The reversal of 761402880 is 88204167.

It is a tau number, because it is divible by the number of its divisors (240).

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 (761402881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158920 + ... + 163640.

Almost surely, 2^761402880 is an apocalyptic number.

761402880 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 761402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507149072).

761402880 is an abundant number, since it is smaller than the sum of its proper divisors (2252895264).

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

761402880 is a wasteful number, since it uses less digits than its factorization.

761402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 761402880 is about 27593.5296763571. The cubic root of 761402880 is about 913.1416911329.

The spelling of 761402880 in words is "seven hundred sixty-one million, four hundred two thousand, eight hundred eighty".