761877738 has 80 divisors (see below), whose sum is σ = 1759824000. Its totient is φ = 246250368.

The previous prime is 761877719. The next prime is 761877757. The reversal of 761877738 is 837778167.

It is an interprime number because it is at equal distance from previous prime (761877719) and next prime (761877757).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2765952) is a multiple of the sum of its prime divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754578 + ... + 755586.

It is an arithmetic number, because the mean of its divisors is an integer number (21997800).

Almost surely, 2^761877738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761877738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879912000).

761877738 is an abundant number, since it is smaller than the sum of its proper divisors (997946262).

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

761877738 is a wasteful number, since it uses less digits than its factorization.

761877738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The square root of 761877738 is about 27602.1328523721. The cubic root of 761877738 is about 913.3314822572.

The spelling of 761877738 in words is "seven hundred sixty-one million, eight hundred seventy-seven thousand, seven hundred thirty-eight".