761379840 has 528 divisors, whose sum is σ = 3004275456. Its totient is φ = 176947200.

The previous prime is 761379797. The next prime is 761379841. The reversal of 761379840 is 48973167.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761379841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570220 + ... + 18570260.

Almost surely, 2^761379840 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 761379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728).

761379840 is an abundant number, since it is smaller than the sum of its proper divisors (2242895616).

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

761379840 is a wasteful number, since it uses less digits than its factorization.

761379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 761379840 is about 27593.1121840216. The cubic root of 761379840 is about 913.1324805046.

The spelling of 761379840 in words is "seven hundred sixty-one million, three hundred seventy-nine thousand, eight hundred forty".