761116400 has 60 divisors (see below), whose sum is σ = 1994828424. Its totient is φ = 276768000.

The previous prime is 761116351. The next prime is 761116409. The reversal of 761116400 is 4611167.

It is a self number, because there is not a number n which added to its sum of digits gives 761116400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761116409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82091 + ... + 90890.

Almost surely, 2^761116400 is an apocalyptic number.

It is an amenable number.

761116400 is an abundant number, since it is smaller than the sum of its proper divisors (1233712024).

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

761116400 is a wasteful number, since it uses less digits than its factorization.

761116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173010 (or 172999 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 761116400 is about 27588.3381159504. The cubic root of 761116400 is about 913.0271527135.

Adding to 761116400 its reverse (4611167), we get a palindrome (765727567).

The spelling of 761116400 in words is "seven hundred sixty-one million, one hundred sixteen thousand, four hundred".