77400075 has 48 divisors (see below), whose sum is σ = 132281216. Its totient is φ = 39916800.

The previous prime is 77400019. The next prime is 77400077. The reversal of 77400075 is 57000477.

It is a happy number.

It is not a de Polignac number, because 77400075 - 2⁷ = 77399947 is a prime.

It is a super-2 number, since 2×77400075² = 11981543220011250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77400077) 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, 366720 + ... + 366930.

Almost surely, 2^77400075 is an apocalyptic number.

77400075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77400075 is a deficient number, since it is larger than the sum of its proper divisors (54881141).

77400075 is a wasteful number, since it uses less digits than its factorization.

77400075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 77400075 is about 8797.7312416327. The cubic root of 77400075 is about 426.1676311344.

The spelling of 77400075 in words is "seventy-seven million, four hundred thousand, seventy-five".