761272740900 has 180 divisors, whose sum is σ = 2820280754368. Its totient is φ = 174005184960.

The previous prime is 761272740881. The next prime is 761272740919. The reversal of 761272740900 is 9047272167.

761272740900 is a `hidden beast` number, since 7 + 612 + 7 + 27 + 4 + 0 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (761272740881) and next prime (761272740919).

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6656464 + ... + 6769863.

Almost surely, 2^761272740900 is an apocalyptic number.

761272740900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

761272740900 is an abundant number, since it is smaller than the sum of its proper divisors (2059008013468).

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

761272740900 is a wasteful number, since it uses less digits than its factorization.

761272740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426360 (or 13426344 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 761272740900 in words is "seven hundred sixty-one billion, two hundred seventy-two million, seven hundred forty thousand, nine hundred".